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Finding the Fourth Proportional to 10,472.88, 15,709.10 and 3,077.16

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Solution

The fourth proportional to 10,472.88, 15,709.10 and 3,077.16 is: 4,615.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.88 : 15,709.10 = 3,077.16 : x
  2. Step 2: Convert to fraction form
    10,472.88/15,709.10 = 3,077.16/x
  3. Step 3: Cross multiply
    10,472.88x = 15,709.10 × 3,077.16
  4. Step 4: Simplify right side
    10,472.88x = 48,339,414.16
  5. Step 5: Solve for x
    x = 48,339,414.16/10,472.88
  6. Step 6: Final answer
    x = 4,615.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.