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Finding the Fourth Proportional to 10,536.80, 15,805.04 and 3,141.29

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Solution

The fourth proportional to 10,536.80, 15,805.04 and 3,141.29 is: 4,711.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,536.80 : 15,805.04 = 3,141.29 : x
  2. Step 2: Convert to fraction form
    10,536.80/15,805.04 = 3,141.29/x
  3. Step 3: Cross multiply
    10,536.80x = 15,805.04 × 3,141.29
  4. Step 4: Simplify right side
    10,536.80x = 49,648,119.37
  5. Step 5: Solve for x
    x = 49,648,119.37/10,536.80
  6. Step 6: Final answer
    x = 4,711.88

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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.