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Finding the Fourth Proportional to 8,287.92, 12,415.68 and 4,386.96

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Solution

The fourth proportional to 8,287.92, 12,415.68 and 4,386.96 is: 6,571.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.92 : 12,415.68 = 4,386.96 : x
  2. Step 2: Convert to fraction form
    8,287.92/12,415.68 = 4,386.96/x
  3. Step 3: Cross multiply
    8,287.92x = 12,415.68 × 4,386.96
  4. Step 4: Simplify right side
    8,287.92x = 54,467,091.53
  5. Step 5: Solve for x
    x = 54,467,091.53/8,287.92
  6. Step 6: Final answer
    x = 6,571.87

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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.