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Finding the Fourth Proportional to 11,938.80, 16,460.73 and 7,951.17

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Solution

The fourth proportional to 11,938.80, 16,460.73 and 7,951.17 is: 10,962.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,938.80 : 16,460.73 = 7,951.17 : x
  2. Step 2: Convert to fraction form
    11,938.80/16,460.73 = 7,951.17/x
  3. Step 3: Cross multiply
    11,938.80x = 16,460.73 × 7,951.17
  4. Step 4: Simplify right side
    11,938.80x = 130,882,062.55
  5. Step 5: Solve for x
    x = 130,882,062.55/11,938.80
  6. Step 6: Final answer
    x = 10,962.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.