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Finding the Fourth Proportional to 8,202.66, 11,292.29 and 7,826.06

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Solution

The fourth proportional to 8,202.66, 11,292.29 and 7,826.06 is: 10,773.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.66 : 11,292.29 = 7,826.06 : x
  2. Step 2: Convert to fraction form
    8,202.66/11,292.29 = 7,826.06/x
  3. Step 3: Cross multiply
    8,202.66x = 11,292.29 × 7,826.06
  4. Step 4: Simplify right side
    8,202.66x = 88,374,043.49
  5. Step 5: Solve for x
    x = 88,374,043.49/8,202.66
  6. Step 6: Final answer
    x = 10,773.83

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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.