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Finding the Fourth Proportional to 8,721.75, 12,039.69 and 5,892.96

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Solution

The fourth proportional to 8,721.75, 12,039.69 and 5,892.96 is: 8,134.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,721.75 : 12,039.69 = 5,892.96 : x
  2. Step 2: Convert to fraction form
    8,721.75/12,039.69 = 5,892.96/x
  3. Step 3: Cross multiply
    8,721.75x = 12,039.69 × 5,892.96
  4. Step 4: Simplify right side
    8,721.75x = 70,949,411.58
  5. Step 5: Solve for x
    x = 70,949,411.58/8,721.75
  6. Step 6: Final answer
    x = 8,134.77

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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.