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Finding the Fourth Proportional to 8,217.44, 11,340.06 and 5,073.63

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Solution

The fourth proportional to 8,217.44, 11,340.06 and 5,073.63 is: 7,001.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,217.44 : 11,340.06 = 5,073.63 : x
  2. Step 2: Convert to fraction form
    8,217.44/11,340.06 = 5,073.63/x
  3. Step 3: Cross multiply
    8,217.44x = 11,340.06 × 5,073.63
  4. Step 4: Simplify right side
    8,217.44x = 57,535,268.62
  5. Step 5: Solve for x
    x = 57,535,268.62/8,217.44
  6. Step 6: Final answer
    x = 7,001.60

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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.