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Finding the Fourth Proportional to 7,843,612.80, 11,789,038.80 and 6,804,350.40

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Solution

The fourth proportional to 7,843,612.80, 11,789,038.80 and 6,804,350.40 is: 10,227,015.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843,612.80 : 11,789,038.80 = 6,804,350.40 : x
  2. Step 2: Convert to fraction form
    7,843,612.80/11,789,038.80 = 6,804,350.40/x
  3. Step 3: Cross multiply
    7,843,612.80x = 11,789,038.80 × 6,804,350.40
  4. Step 4: Simplify right side
    7,843,612.80x = 80,216,750,874,395.53
  5. Step 5: Solve for x
    x = 80,216,750,874,395.53/7,843,612.80
  6. Step 6: Final answer
    x = 10,227,015.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.