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Finding the Fourth Proportional to 7,816.92, 11,713.04 and 4,301.75

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Solution

The fourth proportional to 7,816.92, 11,713.04 and 4,301.75 is: 6,445.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,816.92 : 11,713.04 = 4,301.75 : x
  2. Step 2: Convert to fraction form
    7,816.92/11,713.04 = 4,301.75/x
  3. Step 3: Cross multiply
    7,816.92x = 11,713.04 × 4,301.75
  4. Step 4: Simplify right side
    7,816.92x = 50,386,593.73
  5. Step 5: Solve for x
    x = 50,386,593.73/7,816.92
  6. Step 6: Final answer
    x = 6,445.84

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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.