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Finding the Fourth Proportional to 8,724.96, 12,999.20 and 8,284.32

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Solution

The fourth proportional to 8,724.96, 12,999.20 and 8,284.32 is: 12,342.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,724.96 : 12,999.20 = 8,284.32 : x
  2. Step 2: Convert to fraction form
    8,724.96/12,999.20 = 8,284.32/x
  3. Step 3: Cross multiply
    8,724.96x = 12,999.20 × 8,284.32
  4. Step 4: Simplify right side
    8,724.96x = 107,689,532.54
  5. Step 5: Solve for x
    x = 107,689,532.54/8,724.96
  6. Step 6: Final answer
    x = 12,342.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.