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Finding the Fourth Proportional to 10,384.80, 15,577.20 and 3,815.70

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Solution

The fourth proportional to 10,384.80, 15,577.20 and 3,815.70 is: 5,723.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384.80 : 15,577.20 = 3,815.70 : x
  2. Step 2: Convert to fraction form
    10,384.80/15,577.20 = 3,815.70/x
  3. Step 3: Cross multiply
    10,384.80x = 15,577.20 × 3,815.70
  4. Step 4: Simplify right side
    10,384.80x = 59,437,922.04
  5. Step 5: Solve for x
    x = 59,437,922.04/10,384.80
  6. Step 6: Final answer
    x = 5,723.55

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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.