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Finding the Fourth Proportional to 7,845.68, 10,827.42 and 4,863.08

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Solution

The fourth proportional to 7,845.68, 10,827.42 and 4,863.08 is: 6,711.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,845.68 : 10,827.42 = 4,863.08 : x
  2. Step 2: Convert to fraction form
    7,845.68/10,827.42 = 4,863.08/x
  3. Step 3: Cross multiply
    7,845.68x = 10,827.42 × 4,863.08
  4. Step 4: Simplify right side
    7,845.68x = 52,654,609.65
  5. Step 5: Solve for x
    x = 52,654,609.65/7,845.68
  6. Step 6: Final answer
    x = 6,711.29

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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.