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Finding the Fourth Proportional to 10,003.88, 15,023.10 and 6,131

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Solution

The fourth proportional to 10,003.88, 15,023.10 and 6,131 is: 9,207.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.88 : 15,023.10 = 6,131 : x
  2. Step 2: Convert to fraction form
    10,003.88/15,023.10 = 6,131/x
  3. Step 3: Cross multiply
    10,003.88x = 15,023.10 × 6,131
  4. Step 4: Simplify right side
    10,003.88x = 92,106,626.10
  5. Step 5: Solve for x
    x = 92,106,626.10/10,003.88
  6. Step 6: Final answer
    x = 9,207.09

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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.