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Finding the Fourth Proportional to 10,472.25, 15,709.14 and 3,898.44

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Solution

The fourth proportional to 10,472.25, 15,709.14 and 3,898.44 is: 5,847.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.25 : 15,709.14 = 3,898.44 : x
  2. Step 2: Convert to fraction form
    10,472.25/15,709.14 = 3,898.44/x
  3. Step 3: Cross multiply
    10,472.25x = 15,709.14 × 3,898.44
  4. Step 4: Simplify right side
    10,472.25x = 61,241,139.74
  5. Step 5: Solve for x
    x = 61,241,139.74/10,472.25
  6. Step 6: Final answer
    x = 5,847.94

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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.