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Finding the Fourth Proportional to 12,610.84, 17,402.80 and 7,306.15

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Solution

The fourth proportional to 12,610.84, 17,402.80 and 7,306.15 is: 10,082.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,610.84 : 17,402.80 = 7,306.15 : x
  2. Step 2: Convert to fraction form
    12,610.84/17,402.80 = 7,306.15/x
  3. Step 3: Cross multiply
    12,610.84x = 17,402.80 × 7,306.15
  4. Step 4: Simplify right side
    12,610.84x = 127,147,467.22
  5. Step 5: Solve for x
    x = 127,147,467.22/12,610.84
  6. Step 6: Final answer
    x = 10,082.39

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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.