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Finding the Fourth Proportional to 8,717.86, 12,024.56 and 5,732.74

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Solution

The fourth proportional to 8,717.86, 12,024.56 and 5,732.74 is: 7,907.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,717.86 : 12,024.56 = 5,732.74 : x
  2. Step 2: Convert to fraction form
    8,717.86/12,024.56 = 5,732.74/x
  3. Step 3: Cross multiply
    8,717.86x = 12,024.56 × 5,732.74
  4. Step 4: Simplify right side
    8,717.86x = 68,933,705.46
  5. Step 5: Solve for x
    x = 68,933,705.46/8,717.86
  6. Step 6: Final answer
    x = 7,907.18

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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.