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Finding the Fourth Proportional to 10,475.22, 15,691.61 and 4,844.90

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Solution

The fourth proportional to 10,475.22, 15,691.61 and 4,844.90 is: 7,257.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,475.22 : 15,691.61 = 4,844.90 : x
  2. Step 2: Convert to fraction form
    10,475.22/15,691.61 = 4,844.90/x
  3. Step 3: Cross multiply
    10,475.22x = 15,691.61 × 4,844.90
  4. Step 4: Simplify right side
    10,475.22x = 76,024,178.61
  5. Step 5: Solve for x
    x = 76,024,178.61/10,475.22
  6. Step 6: Final answer
    x = 7,257.53

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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.