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Finding the Fourth Proportional to 8,997.86, 12,410.61 and 7,800.70

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Solution

The fourth proportional to 8,997.86, 12,410.61 and 7,800.70 is: 10,759.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,997.86 : 12,410.61 = 7,800.70 : x
  2. Step 2: Convert to fraction form
    8,997.86/12,410.61 = 7,800.70/x
  3. Step 3: Cross multiply
    8,997.86x = 12,410.61 × 7,800.70
  4. Step 4: Simplify right side
    8,997.86x = 96,811,445.43
  5. Step 5: Solve for x
    x = 96,811,445.43/8,997.86
  6. Step 6: Final answer
    x = 10,759.39

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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.