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Finding the Fourth Proportional to 10,507.68, 15,761.49 and 3,112.72

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Solution

The fourth proportional to 10,507.68, 15,761.49 and 3,112.72 is: 4,669.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.68 : 15,761.49 = 3,112.72 : x
  2. Step 2: Convert to fraction form
    10,507.68/15,761.49 = 3,112.72/x
  3. Step 3: Cross multiply
    10,507.68x = 15,761.49 × 3,112.72
  4. Step 4: Simplify right side
    10,507.68x = 49,061,077.42
  5. Step 5: Solve for x
    x = 49,061,077.42/10,507.68
  6. Step 6: Final answer
    x = 4,669.07

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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.