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Finding the Fourth Proportional to 10,438.20, 15,659.03 and 5,173.47

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Solution

The fourth proportional to 10,438.20, 15,659.03 and 5,173.47 is: 7,761.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.20 : 15,659.03 = 5,173.47 : x
  2. Step 2: Convert to fraction form
    10,438.20/15,659.03 = 5,173.47/x
  3. Step 3: Cross multiply
    10,438.20x = 15,659.03 × 5,173.47
  4. Step 4: Simplify right side
    10,438.20x = 81,011,534.87
  5. Step 5: Solve for x
    x = 81,011,534.87/10,438.20
  6. Step 6: Final answer
    x = 7,761.06

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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.