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Finding the Fourth Proportional to 8,209.52, 11,328.92 and 7,549.04

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Solution

The fourth proportional to 8,209.52, 11,328.92 and 7,549.04 is: 10,417.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.52 : 11,328.92 = 7,549.04 : x
  2. Step 2: Convert to fraction form
    8,209.52/11,328.92 = 7,549.04/x
  3. Step 3: Cross multiply
    8,209.52x = 11,328.92 × 7,549.04
  4. Step 4: Simplify right side
    8,209.52x = 85,522,470.24
  5. Step 5: Solve for x
    x = 85,522,470.24/8,209.52
  6. Step 6: Final answer
    x = 10,417.48

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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.