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Finding the Fourth Proportional to 11,862.90, 17,788.92 and 6,934.08

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Solution

The fourth proportional to 11,862.90, 17,788.92 and 6,934.08 is: 10,397.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,862.90 : 17,788.92 = 6,934.08 : x
  2. Step 2: Convert to fraction form
    11,862.90/17,788.92 = 6,934.08/x
  3. Step 3: Cross multiply
    11,862.90x = 17,788.92 × 6,934.08
  4. Step 4: Simplify right side
    11,862.90x = 123,349,794.39
  5. Step 5: Solve for x
    x = 123,349,794.39/11,862.90
  6. Step 6: Final answer
    x = 10,397.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.