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Finding the Fourth Proportional to 8,177.40, 11,286.06 and 5,035.80

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Solution

The fourth proportional to 8,177.40, 11,286.06 and 5,035.80 is: 6,950.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,177.40 : 11,286.06 = 5,035.80 : x
  2. Step 2: Convert to fraction form
    8,177.40/11,286.06 = 5,035.80/x
  3. Step 3: Cross multiply
    8,177.40x = 11,286.06 × 5,035.80
  4. Step 4: Simplify right side
    8,177.40x = 56,834,340.95
  5. Step 5: Solve for x
    x = 56,834,340.95/8,177.40
  6. Step 6: Final answer
    x = 6,950.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.