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Finding the Fourth Proportional to 12,978.38, 17,910.30 and 7,389.74

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Solution

The fourth proportional to 12,978.38, 17,910.30 and 7,389.74 is: 10,197.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,978.38 : 17,910.30 = 7,389.74 : x
  2. Step 2: Convert to fraction form
    12,978.38/17,910.30 = 7,389.74/x
  3. Step 3: Cross multiply
    12,978.38x = 17,910.30 × 7,389.74
  4. Step 4: Simplify right side
    12,978.38x = 132,352,460.32
  5. Step 5: Solve for x
    x = 132,352,460.32/12,978.38
  6. Step 6: Final answer
    x = 10,197.92

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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.