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Finding the Fourth Proportional to 10,411.71, 15,614.33 and 3,016.68

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Solution

The fourth proportional to 10,411.71, 15,614.33 and 3,016.68 is: 4,524.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411.71 : 15,614.33 = 3,016.68 : x
  2. Step 2: Convert to fraction form
    10,411.71/15,614.33 = 3,016.68/x
  3. Step 3: Cross multiply
    10,411.71x = 15,614.33 × 3,016.68
  4. Step 4: Simplify right side
    10,411.71x = 47,103,421.94
  5. Step 5: Solve for x
    x = 47,103,421.94/10,411.71
  6. Step 6: Final answer
    x = 4,524.08

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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.