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Finding the Fourth Proportional to 10,697.68, 14,761.96 and 5,981.05

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Solution

The fourth proportional to 10,697.68, 14,761.96 and 5,981.05 is: 8,253.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.68 : 14,761.96 = 5,981.05 : x
  2. Step 2: Convert to fraction form
    10,697.68/14,761.96 = 5,981.05/x
  3. Step 3: Cross multiply
    10,697.68x = 14,761.96 × 5,981.05
  4. Step 4: Simplify right side
    10,697.68x = 88,292,020.86
  5. Step 5: Solve for x
    x = 88,292,020.86/10,697.68
  6. Step 6: Final answer
    x = 8,253.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.