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Finding the Fourth Proportional to 10,891.60, 15,029.60 and 6,175.20

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Solution

The fourth proportional to 10,891.60, 15,029.60 and 6,175.20 is: 8,521.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,891.60 : 15,029.60 = 6,175.20 : x
  2. Step 2: Convert to fraction form
    10,891.60/15,029.60 = 6,175.20/x
  3. Step 3: Cross multiply
    10,891.60x = 15,029.60 × 6,175.20
  4. Step 4: Simplify right side
    10,891.60x = 92,810,785.92
  5. Step 5: Solve for x
    x = 92,810,785.92/10,891.60
  6. Step 6: Final answer
    x = 8,521.32

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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.