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Finding the Fourth Proportional to 10,507.41, 15,761.07 and 3,111.92

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Solution

The fourth proportional to 10,507.41, 15,761.07 and 3,111.92 is: 4,667.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.41 : 15,761.07 = 3,111.92 : x
  2. Step 2: Convert to fraction form
    10,507.41/15,761.07 = 3,111.92/x
  3. Step 3: Cross multiply
    10,507.41x = 15,761.07 × 3,111.92
  4. Step 4: Simplify right side
    10,507.41x = 49,047,110.15
  5. Step 5: Solve for x
    x = 49,047,110.15/10,507.41
  6. Step 6: Final answer
    x = 4,667.86

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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.