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Finding the Fourth Proportional to 8,339.40, 11,562.75 and 7,944.84

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Solution

The fourth proportional to 8,339.40, 11,562.75 and 7,944.84 is: 11,015.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,339.40 : 11,562.75 = 7,944.84 : x
  2. Step 2: Convert to fraction form
    8,339.40/11,562.75 = 7,944.84/x
  3. Step 3: Cross multiply
    8,339.40x = 11,562.75 × 7,944.84
  4. Step 4: Simplify right side
    8,339.40x = 91,864,198.71
  5. Step 5: Solve for x
    x = 91,864,198.71/8,339.40
  6. Step 6: Final answer
    x = 11,015.68

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.