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Finding the Fourth Proportional to 10,252.59, 15,369.65 and 3,677.24

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Solution

The fourth proportional to 10,252.59, 15,369.65 and 3,677.24 is: 5,512.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,252.59 : 15,369.65 = 3,677.24 : x
  2. Step 2: Convert to fraction form
    10,252.59/15,369.65 = 3,677.24/x
  3. Step 3: Cross multiply
    10,252.59x = 15,369.65 × 3,677.24
  4. Step 4: Simplify right side
    10,252.59x = 56,517,891.77
  5. Step 5: Solve for x
    x = 56,517,891.77/10,252.59
  6. Step 6: Final answer
    x = 5,512.55

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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.