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Finding the Fourth Proportional to 8,469.44, 12,701.76 and 5,344.76

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Solution

The fourth proportional to 8,469.44, 12,701.76 and 5,344.76 is: 8,015.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469.44 : 12,701.76 = 5,344.76 : x
  2. Step 2: Convert to fraction form
    8,469.44/12,701.76 = 5,344.76/x
  3. Step 3: Cross multiply
    8,469.44x = 12,701.76 × 5,344.76
  4. Step 4: Simplify right side
    8,469.44x = 67,887,877.17
  5. Step 5: Solve for x
    x = 67,887,877.17/8,469.44
  6. Step 6: Final answer
    x = 8,015.63

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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.