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Finding the Fourth Proportional to 8,766, 12,099.24 and 5,042.16

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Solution

The fourth proportional to 8,766, 12,099.24 and 5,042.16 is: 6,959.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,766 : 12,099.24 = 5,042.16 : x
  2. Step 2: Convert to fraction form
    8,766/12,099.24 = 5,042.16/x
  3. Step 3: Cross multiply
    8,766x = 12,099.24 × 5,042.16
  4. Step 4: Simplify right side
    8,766x = 61,006,303.96
  5. Step 5: Solve for x
    x = 61,006,303.96/8,766
  6. Step 6: Final answer
    x = 6,959.42

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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.