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Finding the Fourth Proportional to 8,735.97, 13,044.52 and 8,242.64

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Solution

The fourth proportional to 8,735.97, 13,044.52 and 8,242.64 is: 12,307.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,735.97 : 13,044.52 = 8,242.64 : x
  2. Step 2: Convert to fraction form
    8,735.97/13,044.52 = 8,242.64/x
  3. Step 3: Cross multiply
    8,735.97x = 13,044.52 × 8,242.64
  4. Step 4: Simplify right side
    8,735.97x = 107,521,282.33
  5. Step 5: Solve for x
    x = 107,521,282.33/8,735.97
  6. Step 6: Final answer
    x = 12,307.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.