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Finding the Fourth Proportional to 8,940, 12,338.88 and 5,165.58

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Solution

The fourth proportional to 8,940, 12,338.88 and 5,165.58 is: 7,129.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,940 : 12,338.88 = 5,165.58 : x
  2. Step 2: Convert to fraction form
    8,940/12,338.88 = 5,165.58/x
  3. Step 3: Cross multiply
    8,940x = 12,338.88 × 5,165.58
  4. Step 4: Simplify right side
    8,940x = 63,737,471.75
  5. Step 5: Solve for x
    x = 63,737,471.75/8,940
  6. Step 6: Final answer
    x = 7,129.47

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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.