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Finding the Fourth Proportional to 10,568.16, 15,856.28 and 6,411.14

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Solution

The fourth proportional to 10,568.16, 15,856.28 and 6,411.14 is: 9,619.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,568.16 : 15,856.28 = 6,411.14 : x
  2. Step 2: Convert to fraction form
    10,568.16/15,856.28 = 6,411.14/x
  3. Step 3: Cross multiply
    10,568.16x = 15,856.28 × 6,411.14
  4. Step 4: Simplify right side
    10,568.16x = 101,656,719.62
  5. Step 5: Solve for x
    x = 101,656,719.62/10,568.16
  6. Step 6: Final answer
    x = 9,619.15

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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.