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Finding the Fourth Proportional to 11,565.66, 17,348.49 and 6,638.43

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Solution

The fourth proportional to 11,565.66, 17,348.49 and 6,638.43 is: 9,957.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565.66 : 17,348.49 = 6,638.43 : x
  2. Step 2: Convert to fraction form
    11,565.66/17,348.49 = 6,638.43/x
  3. Step 3: Cross multiply
    11,565.66x = 17,348.49 × 6,638.43
  4. Step 4: Simplify right side
    11,565.66x = 115,166,736.47
  5. Step 5: Solve for x
    x = 115,166,736.47/11,565.66
  6. Step 6: Final answer
    x = 9,957.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.