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Finding the Fourth Proportional to 12,763.38, 17,613.72 and 7,098.36

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Solution

The fourth proportional to 12,763.38, 17,613.72 and 7,098.36 is: 9,795.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,763.38 : 17,613.72 = 7,098.36 : x
  2. Step 2: Convert to fraction form
    12,763.38/17,613.72 = 7,098.36/x
  3. Step 3: Cross multiply
    12,763.38x = 17,613.72 × 7,098.36
  4. Step 4: Simplify right side
    12,763.38x = 125,028,525.50
  5. Step 5: Solve for x
    x = 125,028,525.50/12,763.38
  6. Step 6: Final answer
    x = 9,795.88

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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.