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Finding the Fourth Proportional to 8,654.72, 12,983.81 and 2,416.52

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Solution

The fourth proportional to 8,654.72, 12,983.81 and 2,416.52 is: 3,625.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,654.72 : 12,983.81 = 2,416.52 : x
  2. Step 2: Convert to fraction form
    8,654.72/12,983.81 = 2,416.52/x
  3. Step 3: Cross multiply
    8,654.72x = 12,983.81 × 2,416.52
  4. Step 4: Simplify right side
    8,654.72x = 31,375,559.54
  5. Step 5: Solve for x
    x = 31,375,559.54/8,654.72
  6. Step 6: Final answer
    x = 3,625.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.