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Finding the Fourth Proportional to 8,735.65, 13,081.13 and 5,765.11

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Solution

The fourth proportional to 8,735.65, 13,081.13 and 5,765.11 is: 8,632.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,735.65 : 13,081.13 = 5,765.11 : x
  2. Step 2: Convert to fraction form
    8,735.65/13,081.13 = 5,765.11/x
  3. Step 3: Cross multiply
    8,735.65x = 13,081.13 × 5,765.11
  4. Step 4: Simplify right side
    8,735.65x = 75,414,113.47
  5. Step 5: Solve for x
    x = 75,414,113.47/8,735.65
  6. Step 6: Final answer
    x = 8,632.92

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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.