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Finding the Fourth Proportional to 8,178.57, 11,295.86 and 5,950.40

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Solution

The fourth proportional to 8,178.57, 11,295.86 and 5,950.40 is: 8,218.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.57 : 11,295.86 = 5,950.40 : x
  2. Step 2: Convert to fraction form
    8,178.57/11,295.86 = 5,950.40/x
  3. Step 3: Cross multiply
    8,178.57x = 11,295.86 × 5,950.40
  4. Step 4: Simplify right side
    8,178.57x = 67,214,799.11
  5. Step 5: Solve for x
    x = 67,214,799.11/8,178.57
  6. Step 6: Final answer
    x = 8,218.40

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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.