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Finding the Fourth Proportional to 10,494.78, 15,765.27 and 6,337.26

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Solution

The fourth proportional to 10,494.78, 15,765.27 and 6,337.26 is: 9,519.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.78 : 15,765.27 = 6,337.26 : x
  2. Step 2: Convert to fraction form
    10,494.78/15,765.27 = 6,337.26/x
  3. Step 3: Cross multiply
    10,494.78x = 15,765.27 × 6,337.26
  4. Step 4: Simplify right side
    10,494.78x = 99,908,591.20
  5. Step 5: Solve for x
    x = 99,908,591.20/10,494.78
  6. Step 6: Final answer
    x = 9,519.84

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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.