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Finding the Fourth Proportional to 8,597.50, 12,897.66 and 2,753.76

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Solution

The fourth proportional to 8,597.50, 12,897.66 and 2,753.76 is: 4,131.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,597.50 : 12,897.66 = 2,753.76 : x
  2. Step 2: Convert to fraction form
    8,597.50/12,897.66 = 2,753.76/x
  3. Step 3: Cross multiply
    8,597.50x = 12,897.66 × 2,753.76
  4. Step 4: Simplify right side
    8,597.50x = 35,517,060.20
  5. Step 5: Solve for x
    x = 35,517,060.20/8,597.50
  6. Step 6: Final answer
    x = 4,131.09

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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.