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Finding the Fourth Proportional to 10,456.80, 15,685.20 and 3,436.80

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Solution

The fourth proportional to 10,456.80, 15,685.20 and 3,436.80 is: 5,155.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,456.80 : 15,685.20 = 3,436.80 : x
  2. Step 2: Convert to fraction form
    10,456.80/15,685.20 = 3,436.80/x
  3. Step 3: Cross multiply
    10,456.80x = 15,685.20 × 3,436.80
  4. Step 4: Simplify right side
    10,456.80x = 53,906,895.36
  5. Step 5: Solve for x
    x = 53,906,895.36/10,456.80
  6. Step 6: Final answer
    x = 5,155.20

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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.