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Finding the Fourth Proportional to 10,411.13, 14,353.80 and 7,578.97

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Solution

The fourth proportional to 10,411.13, 14,353.80 and 7,578.97 is: 10,449.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411.13 : 14,353.80 = 7,578.97 : x
  2. Step 2: Convert to fraction form
    10,411.13/14,353.80 = 7,578.97/x
  3. Step 3: Cross multiply
    10,411.13x = 14,353.80 × 7,578.97
  4. Step 4: Simplify right side
    10,411.13x = 108,787,019.59
  5. Step 5: Solve for x
    x = 108,787,019.59/10,411.13
  6. Step 6: Final answer
    x = 10,449.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.