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Finding the Fourth Proportional to 10,003.47, 15,013.31 and 5,074.52

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Solution

The fourth proportional to 10,003.47, 15,013.31 and 5,074.52 is: 7,615.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.47 : 15,013.31 = 5,074.52 : x
  2. Step 2: Convert to fraction form
    10,003.47/15,013.31 = 5,074.52/x
  3. Step 3: Cross multiply
    10,003.47x = 15,013.31 × 5,074.52
  4. Step 4: Simplify right side
    10,003.47x = 76,185,241.42
  5. Step 5: Solve for x
    x = 76,185,241.42/10,003.47
  6. Step 6: Final answer
    x = 7,615.88

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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.