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Finding the Fourth Proportional to 10,456.80, 15,707.07 and 8,816.55

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Solution

The fourth proportional to 10,456.80, 15,707.07 and 8,816.55 is: 13,243.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,456.80 : 15,707.07 = 8,816.55 : x
  2. Step 2: Convert to fraction form
    10,456.80/15,707.07 = 8,816.55/x
  3. Step 3: Cross multiply
    10,456.80x = 15,707.07 × 8,816.55
  4. Step 4: Simplify right side
    10,456.80x = 138,482,168.01
  5. Step 5: Solve for x
    x = 138,482,168.01/10,456.80
  6. Step 6: Final answer
    x = 13,243.26

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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.