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Finding the Fourth Proportional to 12,615.30, 17,400.78 and 7,891.38

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Solution

The fourth proportional to 12,615.30, 17,400.78 and 7,891.38 is: 10,884.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,615.30 : 17,400.78 = 7,891.38 : x
  2. Step 2: Convert to fraction form
    12,615.30/17,400.78 = 7,891.38/x
  3. Step 3: Cross multiply
    12,615.30x = 17,400.78 × 7,891.38
  4. Step 4: Simplify right side
    12,615.30x = 137,316,167.28
  5. Step 5: Solve for x
    x = 137,316,167.28/12,615.30
  6. Step 6: Final answer
    x = 10,884.89

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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.