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Finding the Fourth Proportional to 10,425.76, 15,634.70 and 3,404.10

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Solution

The fourth proportional to 10,425.76, 15,634.70 and 3,404.10 is: 5,104.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,425.76 : 15,634.70 = 3,404.10 : x
  2. Step 2: Convert to fraction form
    10,425.76/15,634.70 = 3,404.10/x
  3. Step 3: Cross multiply
    10,425.76x = 15,634.70 × 3,404.10
  4. Step 4: Simplify right side
    10,425.76x = 53,222,082.27
  5. Step 5: Solve for x
    x = 53,222,082.27/10,425.76
  6. Step 6: Final answer
    x = 5,104.86

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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.