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Finding the Fourth Proportional to 7,078.67, 10,618.16 and 2,575.58

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Solution

The fourth proportional to 7,078.67, 10,618.16 and 2,575.58 is: 3,863.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.67 : 10,618.16 = 2,575.58 : x
  2. Step 2: Convert to fraction form
    7,078.67/10,618.16 = 2,575.58/x
  3. Step 3: Cross multiply
    7,078.67x = 10,618.16 × 2,575.58
  4. Step 4: Simplify right side
    7,078.67x = 27,347,854.56
  5. Step 5: Solve for x
    x = 27,347,854.56/7,078.67
  6. Step 6: Final answer
    x = 3,863.42

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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.