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Finding the Fourth Proportional to 8,177.40, 12,262.95 and 3,494.43

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Solution

The fourth proportional to 8,177.40, 12,262.95 and 3,494.43 is: 5,240.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,177.40 : 12,262.95 = 3,494.43 : x
  2. Step 2: Convert to fraction form
    8,177.40/12,262.95 = 3,494.43/x
  3. Step 3: Cross multiply
    8,177.40x = 12,262.95 × 3,494.43
  4. Step 4: Simplify right side
    8,177.40x = 42,852,020.37
  5. Step 5: Solve for x
    x = 42,852,020.37/8,177.40
  6. Step 6: Final answer
    x = 5,240.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.