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Finding the Fourth Proportional to 7,062.80, 10,589.13 and 2,677.86

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Solution

The fourth proportional to 7,062.80, 10,589.13 and 2,677.86 is: 4,014.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,062.80 : 10,589.13 = 2,677.86 : x
  2. Step 2: Convert to fraction form
    7,062.80/10,589.13 = 2,677.86/x
  3. Step 3: Cross multiply
    7,062.80x = 10,589.13 × 2,677.86
  4. Step 4: Simplify right side
    7,062.80x = 28,356,207.66
  5. Step 5: Solve for x
    x = 28,356,207.66/7,062.80
  6. Step 6: Final answer
    x = 4,014.87

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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.