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Finding the Fourth Proportional to 8,488.50, 12,732.63 and 4,617.51

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Solution

The fourth proportional to 8,488.50, 12,732.63 and 4,617.51 is: 6,926.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,488.50 : 12,732.63 = 4,617.51 : x
  2. Step 2: Convert to fraction form
    8,488.50/12,732.63 = 4,617.51/x
  3. Step 3: Cross multiply
    8,488.50x = 12,732.63 × 4,617.51
  4. Step 4: Simplify right side
    8,488.50x = 58,793,046.35
  5. Step 5: Solve for x
    x = 58,793,046.35/8,488.50
  6. Step 6: Final answer
    x = 6,926.20

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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.