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Finding the Fourth Proportional to 7,854.57, 11,787.26 and 2,928.15

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Solution

The fourth proportional to 7,854.57, 11,787.26 and 2,928.15 is: 4,394.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.57 : 11,787.26 = 2,928.15 : x
  2. Step 2: Convert to fraction form
    7,854.57/11,787.26 = 2,928.15/x
  3. Step 3: Cross multiply
    7,854.57x = 11,787.26 × 2,928.15
  4. Step 4: Simplify right side
    7,854.57x = 34,514,850.73
  5. Step 5: Solve for x
    x = 34,514,850.73/7,854.57
  6. Step 6: Final answer
    x = 4,394.24

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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.