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Finding the Fourth Proportional to 10,872.84, 15,001.20 and 6,156.24

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Solution

The fourth proportional to 10,872.84, 15,001.20 and 6,156.24 is: 8,493.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872.84 : 15,001.20 = 6,156.24 : x
  2. Step 2: Convert to fraction form
    10,872.84/15,001.20 = 6,156.24/x
  3. Step 3: Cross multiply
    10,872.84x = 15,001.20 × 6,156.24
  4. Step 4: Simplify right side
    10,872.84x = 92,350,987.49
  5. Step 5: Solve for x
    x = 92,350,987.49/10,872.84
  6. Step 6: Final answer
    x = 8,493.73

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