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Finding the Fourth Proportional to 8,477.29, 11,691.73 and 5,967.71

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Solution

The fourth proportional to 8,477.29, 11,691.73 and 5,967.71 is: 8,230.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,477.29 : 11,691.73 = 5,967.71 : x
  2. Step 2: Convert to fraction form
    8,477.29/11,691.73 = 5,967.71/x
  3. Step 3: Cross multiply
    8,477.29x = 11,691.73 × 5,967.71
  4. Step 4: Simplify right side
    8,477.29x = 69,772,854.04
  5. Step 5: Solve for x
    x = 69,772,854.04/8,477.29
  6. Step 6: Final answer
    x = 8,230.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.