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Finding the Fourth Proportional to 6,617.76, 9,899.28 and 5,434.44

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Solution

The fourth proportional to 6,617.76, 9,899.28 and 5,434.44 is: 8,129.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.76 : 9,899.28 = 5,434.44 : x
  2. Step 2: Convert to fraction form
    6,617.76/9,899.28 = 5,434.44/x
  3. Step 3: Cross multiply
    6,617.76x = 9,899.28 × 5,434.44
  4. Step 4: Simplify right side
    6,617.76x = 53,797,043.20
  5. Step 5: Solve for x
    x = 53,797,043.20/6,617.76
  6. Step 6: Final answer
    x = 8,129.19

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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.