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Finding the Fourth Proportional to 10,531.50, 14,532.78 and 5,815.74

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Solution

The fourth proportional to 10,531.50, 14,532.78 and 5,815.74 is: 8,025.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,531.50 : 14,532.78 = 5,815.74 : x
  2. Step 2: Convert to fraction form
    10,531.50/14,532.78 = 5,815.74/x
  3. Step 3: Cross multiply
    10,531.50x = 14,532.78 × 5,815.74
  4. Step 4: Simplify right side
    10,531.50x = 84,518,869.96
  5. Step 5: Solve for x
    x = 84,518,869.96/10,531.50
  6. Step 6: Final answer
    x = 8,025.34

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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.