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Finding the Fourth Proportional to 10,507.58, 15,761.42 and 3,112.17

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Solution

The fourth proportional to 10,507.58, 15,761.42 and 3,112.17 is: 4,668.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.58 : 15,761.42 = 3,112.17 : x
  2. Step 2: Convert to fraction form
    10,507.58/15,761.42 = 3,112.17/x
  3. Step 3: Cross multiply
    10,507.58x = 15,761.42 × 3,112.17
  4. Step 4: Simplify right side
    10,507.58x = 49,052,202.92
  5. Step 5: Solve for x
    x = 49,052,202.92/10,507.58
  6. Step 6: Final answer
    x = 4,668.27

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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.