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Finding the Fourth Proportional to 8,488.50, 12,733.14 and 2,332.50

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Solution

The fourth proportional to 8,488.50, 12,733.14 and 2,332.50 is: 3,498.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,488.50 : 12,733.14 = 2,332.50 : x
  2. Step 2: Convert to fraction form
    8,488.50/12,733.14 = 2,332.50/x
  3. Step 3: Cross multiply
    8,488.50x = 12,733.14 × 2,332.50
  4. Step 4: Simplify right side
    8,488.50x = 29,700,049.05
  5. Step 5: Solve for x
    x = 29,700,049.05/8,488.50
  6. Step 6: Final answer
    x = 3,498.86

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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.