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Finding the Fourth Proportional to 8,470.80, 11,692.62 and 5,826.96

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Solution

The fourth proportional to 8,470.80, 11,692.62 and 5,826.96 is: 8,043.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.80 : 11,692.62 = 5,826.96 : x
  2. Step 2: Convert to fraction form
    8,470.80/11,692.62 = 5,826.96/x
  3. Step 3: Cross multiply
    8,470.80x = 11,692.62 × 5,826.96
  4. Step 4: Simplify right side
    8,470.80x = 68,132,429.04
  5. Step 5: Solve for x
    x = 68,132,429.04/8,470.80
  6. Step 6: Final answer
    x = 8,043.21

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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.