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Finding the Fourth Proportional to 10,655.67, 15,963.05 and 5,961.45

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Solution

The fourth proportional to 10,655.67, 15,963.05 and 5,961.45 is: 8,930.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,655.67 : 15,963.05 = 5,961.45 : x
  2. Step 2: Convert to fraction form
    10,655.67/15,963.05 = 5,961.45/x
  3. Step 3: Cross multiply
    10,655.67x = 15,963.05 × 5,961.45
  4. Step 4: Simplify right side
    10,655.67x = 95,162,993.65
  5. Step 5: Solve for x
    x = 95,162,993.65/10,655.67
  6. Step 6: Final answer
    x = 8,930.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.