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Finding the Fourth Proportional to 10,411.68, 15,619.92 and 3,486

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Solution

The fourth proportional to 10,411.68, 15,619.92 and 3,486 is: 5,229.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411.68 : 15,619.92 = 3,486 : x
  2. Step 2: Convert to fraction form
    10,411.68/15,619.92 = 3,486/x
  3. Step 3: Cross multiply
    10,411.68x = 15,619.92 × 3,486
  4. Step 4: Simplify right side
    10,411.68x = 54,451,041.12
  5. Step 5: Solve for x
    x = 54,451,041.12/10,411.68
  6. Step 6: Final answer
    x = 5,229.80

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