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Finding the Fourth Proportional to 8,677.72, 11,976.42 and 5,319.87

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Solution

The fourth proportional to 8,677.72, 11,976.42 and 5,319.87 is: 7,342.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,677.72 : 11,976.42 = 5,319.87 : x
  2. Step 2: Convert to fraction form
    8,677.72/11,976.42 = 5,319.87/x
  3. Step 3: Cross multiply
    8,677.72x = 11,976.42 × 5,319.87
  4. Step 4: Simplify right side
    8,677.72x = 63,712,997.47
  5. Step 5: Solve for x
    x = 63,712,997.47/8,677.72
  6. Step 6: Final answer
    x = 7,342.14

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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.