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Finding the Fourth Proportional to 8,509.92, 12,740.16 and 5,213.04

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Solution

The fourth proportional to 8,509.92, 12,740.16 and 5,213.04 is: 7,804.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.92 : 12,740.16 = 5,213.04 : x
  2. Step 2: Convert to fraction form
    8,509.92/12,740.16 = 5,213.04/x
  3. Step 3: Cross multiply
    8,509.92x = 12,740.16 × 5,213.04
  4. Step 4: Simplify right side
    8,509.92x = 66,414,963.69
  5. Step 5: Solve for x
    x = 66,414,963.69/8,509.92
  6. Step 6: Final answer
    x = 7,804.42

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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.