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Finding the Fourth Proportional to 12,801.12, 17,658.36 and 7,494.90

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Solution

The fourth proportional to 12,801.12, 17,658.36 and 7,494.90 is: 10,338.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,801.12 : 17,658.36 = 7,494.90 : x
  2. Step 2: Convert to fraction form
    12,801.12/17,658.36 = 7,494.90/x
  3. Step 3: Cross multiply
    12,801.12x = 17,658.36 × 7,494.90
  4. Step 4: Simplify right side
    12,801.12x = 132,347,642.36
  5. Step 5: Solve for x
    x = 132,347,642.36/12,801.12
  6. Step 6: Final answer
    x = 10,338.75

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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.