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Finding the Fourth Proportional to 8,663.50, 12,995.26 and 2,089.70

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Solution

The fourth proportional to 8,663.50, 12,995.26 and 2,089.70 is: 3,134.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,663.50 : 12,995.26 = 2,089.70 : x
  2. Step 2: Convert to fraction form
    8,663.50/12,995.26 = 2,089.70/x
  3. Step 3: Cross multiply
    8,663.50x = 12,995.26 × 2,089.70
  4. Step 4: Simplify right side
    8,663.50x = 27,156,173.35
  5. Step 5: Solve for x
    x = 27,156,173.35/8,663.50
  6. Step 6: Final answer
    x = 3,134.55

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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.