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Finding the Fourth Proportional to 11,938.30, 17,882.84 and 6,992.95

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Solution

The fourth proportional to 11,938.30, 17,882.84 and 6,992.95 is: 10,475.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,938.30 : 17,882.84 = 6,992.95 : x
  2. Step 2: Convert to fraction form
    11,938.30/17,882.84 = 6,992.95/x
  3. Step 3: Cross multiply
    11,938.30x = 17,882.84 × 6,992.95
  4. Step 4: Simplify right side
    11,938.30x = 125,053,738.92
  5. Step 5: Solve for x
    x = 125,053,738.92/11,938.30
  6. Step 6: Final answer
    x = 10,475.00

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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.