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Finding the Fourth Proportional to 12,763.31, 17,613.65 and 7,098.44

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Solution

The fourth proportional to 12,763.31, 17,613.65 and 7,098.44 is: 9,796.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,763.31 : 17,613.65 = 7,098.44 : x
  2. Step 2: Convert to fraction form
    12,763.31/17,613.65 = 7,098.44/x
  3. Step 3: Cross multiply
    12,763.31x = 17,613.65 × 7,098.44
  4. Step 4: Simplify right side
    12,763.31x = 125,029,367.38
  5. Step 5: Solve for x
    x = 125,029,367.38/12,763.31
  6. Step 6: Final answer
    x = 9,796.00

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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.