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Finding the Fourth Proportional to 8,454.48, 12,678.48 and 5,849.52

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Solution

The fourth proportional to 8,454.48, 12,678.48 and 5,849.52 is: 8,772.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.48 : 12,678.48 = 5,849.52 : x
  2. Step 2: Convert to fraction form
    8,454.48/12,678.48 = 5,849.52/x
  3. Step 3: Cross multiply
    8,454.48x = 12,678.48 × 5,849.52
  4. Step 4: Simplify right side
    8,454.48x = 74,163,022.33
  5. Step 5: Solve for x
    x = 74,163,022.33/8,454.48
  6. Step 6: Final answer
    x = 8,772.04

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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.