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Finding the Fourth Proportional to 10,374.90, 15,566.29 and 6,217.90

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Solution

The fourth proportional to 10,374.90, 15,566.29 and 6,217.90 is: 9,329.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,374.90 : 15,566.29 = 6,217.90 : x
  2. Step 2: Convert to fraction form
    10,374.90/15,566.29 = 6,217.90/x
  3. Step 3: Cross multiply
    10,374.90x = 15,566.29 × 6,217.90
  4. Step 4: Simplify right side
    10,374.90x = 96,789,597.62
  5. Step 5: Solve for x
    x = 96,789,597.62/10,374.90
  6. Step 6: Final answer
    x = 9,329.20

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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.