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Finding the Fourth Proportional to 10,560.67, 15,840.07 and 3,166.78

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Solution

The fourth proportional to 10,560.67, 15,840.07 and 3,166.78 is: 4,749.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,560.67 : 15,840.07 = 3,166.78 : x
  2. Step 2: Convert to fraction form
    10,560.67/15,840.07 = 3,166.78/x
  3. Step 3: Cross multiply
    10,560.67x = 15,840.07 × 3,166.78
  4. Step 4: Simplify right side
    10,560.67x = 50,162,016.87
  5. Step 5: Solve for x
    x = 50,162,016.87/10,560.67
  6. Step 6: Final answer
    x = 4,749.89

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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.