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Finding the Fourth Proportional to 8,132.76, 11,207.16 and 5,770.80

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Solution

The fourth proportional to 8,132.76, 11,207.16 and 5,770.80 is: 7,952.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,132.76 : 11,207.16 = 5,770.80 : x
  2. Step 2: Convert to fraction form
    8,132.76/11,207.16 = 5,770.80/x
  3. Step 3: Cross multiply
    8,132.76x = 11,207.16 × 5,770.80
  4. Step 4: Simplify right side
    8,132.76x = 64,674,278.93
  5. Step 5: Solve for x
    x = 64,674,278.93/8,132.76
  6. Step 6: Final answer
    x = 7,952.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.