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Finding the Fourth Proportional to 7,865.62, 11,805.73 and 3,972.76

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Solution

The fourth proportional to 7,865.62, 11,805.73 and 3,972.76 is: 5,962.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.62 : 11,805.73 = 3,972.76 : x
  2. Step 2: Convert to fraction form
    7,865.62/11,805.73 = 3,972.76/x
  3. Step 3: Cross multiply
    7,865.62x = 11,805.73 × 3,972.76
  4. Step 4: Simplify right side
    7,865.62x = 46,901,331.91
  5. Step 5: Solve for x
    x = 46,901,331.91/7,865.62
  6. Step 6: Final answer
    x = 5,962.83

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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.