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Finding the Fourth Proportional to 10,872.73, 15,002.31 and 10,319.10

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Solution

The fourth proportional to 10,872.73, 15,002.31 and 10,319.10 is: 14,238.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872.73 : 15,002.31 = 10,319.10 : x
  2. Step 2: Convert to fraction form
    10,872.73/15,002.31 = 10,319.10/x
  3. Step 3: Cross multiply
    10,872.73x = 15,002.31 × 10,319.10
  4. Step 4: Simplify right side
    10,872.73x = 154,810,337.12
  5. Step 5: Solve for x
    x = 154,810,337.12/10,872.73
  6. Step 6: Final answer
    x = 14,238.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.