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Finding the Fourth Proportional to 7,908.96, 11,864.65 and 2,642.34

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Solution

The fourth proportional to 7,908.96, 11,864.65 and 2,642.34 is: 3,963.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,908.96 : 11,864.65 = 2,642.34 : x
  2. Step 2: Convert to fraction form
    7,908.96/11,864.65 = 2,642.34/x
  3. Step 3: Cross multiply
    7,908.96x = 11,864.65 × 2,642.34
  4. Step 4: Simplify right side
    7,908.96x = 31,350,439.28
  5. Step 5: Solve for x
    x = 31,350,439.28/7,908.96
  6. Step 6: Final answer
    x = 3,963.91

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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.