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Finding the Fourth Proportional to 10,072.80, 15,107.31 and 4,229.46

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Solution

The fourth proportional to 10,072.80, 15,107.31 and 4,229.46 is: 6,343.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,072.80 : 15,107.31 = 4,229.46 : x
  2. Step 2: Convert to fraction form
    10,072.80/15,107.31 = 4,229.46/x
  3. Step 3: Cross multiply
    10,072.80x = 15,107.31 × 4,229.46
  4. Step 4: Simplify right side
    10,072.80x = 63,895,763.35
  5. Step 5: Solve for x
    x = 63,895,763.35/10,072.80
  6. Step 6: Final answer
    x = 6,343.40

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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.