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Finding the Fourth Proportional to 10,617.66, 15,988.22 and 7,863.87

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Solution

The fourth proportional to 10,617.66, 15,988.22 and 7,863.87 is: 11,841.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,617.66 : 15,988.22 = 7,863.87 : x
  2. Step 2: Convert to fraction form
    10,617.66/15,988.22 = 7,863.87/x
  3. Step 3: Cross multiply
    10,617.66x = 15,988.22 × 7,863.87
  4. Step 4: Simplify right side
    10,617.66x = 125,729,244.29
  5. Step 5: Solve for x
    x = 125,729,244.29/10,617.66
  6. Step 6: Final answer
    x = 11,841.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.