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Finding the Fourth Proportional to 10,540.14, 14,545.29 and 5,824.32

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Solution

The fourth proportional to 10,540.14, 14,545.29 and 5,824.32 is: 8,037.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,540.14 : 14,545.29 = 5,824.32 : x
  2. Step 2: Convert to fraction form
    10,540.14/14,545.29 = 5,824.32/x
  3. Step 3: Cross multiply
    10,540.14x = 14,545.29 × 5,824.32
  4. Step 4: Simplify right side
    10,540.14x = 84,716,423.45
  5. Step 5: Solve for x
    x = 84,716,423.45/10,540.14
  6. Step 6: Final answer
    x = 8,037.50

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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.