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Finding the Fourth Proportional to 10,377.87, 15,566.31 and 4,829.24

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Solution

The fourth proportional to 10,377.87, 15,566.31 and 4,829.24 is: 7,243.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,377.87 : 15,566.31 = 4,829.24 : x
  2. Step 2: Convert to fraction form
    10,377.87/15,566.31 = 4,829.24/x
  3. Step 3: Cross multiply
    10,377.87x = 15,566.31 × 4,829.24
  4. Step 4: Simplify right side
    10,377.87x = 75,173,446.90
  5. Step 5: Solve for x
    x = 75,173,446.90/10,377.87
  6. Step 6: Final answer
    x = 7,243.63

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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.