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Finding the Fourth Proportional to 7,822,751.48, 11,735,809.80 and 2,635,877.20

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Solution

The fourth proportional to 7,822,751.48, 11,735,809.80 and 2,635,877.20 is: 3,954,382.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822,751.48 : 11,735,809.80 = 2,635,877.20 : x
  2. Step 2: Convert to fraction form
    7,822,751.48/11,735,809.80 = 2,635,877.20/x
  3. Step 3: Cross multiply
    7,822,751.48x = 11,735,809.80 × 2,635,877.20
  4. Step 4: Simplify right side
    7,822,751.48x = 30,934,153,475,356.56
  5. Step 5: Solve for x
    x = 30,934,153,475,356.56/7,822,751.48
  6. Step 6: Final answer
    x = 3,954,382.75

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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.