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Finding the Fourth Proportional to 10,319.64, 15,471.06 and 5,122.68

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Solution

The fourth proportional to 10,319.64, 15,471.06 and 5,122.68 is: 7,679.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,319.64 : 15,471.06 = 5,122.68 : x
  2. Step 2: Convert to fraction form
    10,319.64/15,471.06 = 5,122.68/x
  3. Step 3: Cross multiply
    10,319.64x = 15,471.06 × 5,122.68
  4. Step 4: Simplify right side
    10,319.64x = 79,253,289.64
  5. Step 5: Solve for x
    x = 79,253,289.64/10,319.64
  6. Step 6: Final answer
    x = 7,679.85

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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.