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Finding the Fourth Proportional to 10,081.30, 15,138.15 and 7,327.30

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Solution

The fourth proportional to 10,081.30, 15,138.15 and 7,327.30 is: 11,002.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,081.30 : 15,138.15 = 7,327.30 : x
  2. Step 2: Convert to fraction form
    10,081.30/15,138.15 = 7,327.30/x
  3. Step 3: Cross multiply
    10,081.30x = 15,138.15 × 7,327.30
  4. Step 4: Simplify right side
    10,081.30x = 110,921,766.50
  5. Step 5: Solve for x
    x = 110,921,766.50/10,081.30
  6. Step 6: Final answer
    x = 11,002.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.