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Finding the Fourth Proportional to 7,843,774.92, 11,766,340.08 and 2,163,999.24

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Solution

The fourth proportional to 7,843,774.92, 11,766,340.08 and 2,163,999.24 is: 3,246,185.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843,774.92 : 11,766,340.08 = 2,163,999.24 : x
  2. Step 2: Convert to fraction form
    7,843,774.92/11,766,340.08 = 2,163,999.24/x
  3. Step 3: Cross multiply
    7,843,774.92x = 11,766,340.08 × 2,163,999.24
  4. Step 4: Simplify right side
    7,843,774.92x = 25,462,350,990,701.54
  5. Step 5: Solve for x
    x = 25,462,350,990,701.54/7,843,774.92
  6. Step 6: Final answer
    x = 3,246,185.83

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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.