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Finding the Fourth Proportional to 7,382.96, 11,078.20 and 4,609.04

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Solution

The fourth proportional to 7,382.96, 11,078.20 and 4,609.04 is: 6,915.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382.96 : 11,078.20 = 4,609.04 : x
  2. Step 2: Convert to fraction form
    7,382.96/11,078.20 = 4,609.04/x
  3. Step 3: Cross multiply
    7,382.96x = 11,078.20 × 4,609.04
  4. Step 4: Simplify right side
    7,382.96x = 51,059,866.93
  5. Step 5: Solve for x
    x = 51,059,866.93/7,382.96
  6. Step 6: Final answer
    x = 6,915.91

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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.