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Finding the Fourth Proportional to 10,891.47, 15,029.84 and 6,175.74

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Solution

The fourth proportional to 10,891.47, 15,029.84 and 6,175.74 is: 8,522.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,891.47 : 15,029.84 = 6,175.74 : x
  2. Step 2: Convert to fraction form
    10,891.47/15,029.84 = 6,175.74/x
  3. Step 3: Cross multiply
    10,891.47x = 15,029.84 × 6,175.74
  4. Step 4: Simplify right side
    10,891.47x = 92,820,353.20
  5. Step 5: Solve for x
    x = 92,820,353.20/10,891.47
  6. Step 6: Final answer
    x = 8,522.30

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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.