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Finding the Fourth Proportional to 8,151.74, 12,228.50 and 2,603.78

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Solution

The fourth proportional to 8,151.74, 12,228.50 and 2,603.78 is: 3,905.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151.74 : 12,228.50 = 2,603.78 : x
  2. Step 2: Convert to fraction form
    8,151.74/12,228.50 = 2,603.78/x
  3. Step 3: Cross multiply
    8,151.74x = 12,228.50 × 2,603.78
  4. Step 4: Simplify right side
    8,151.74x = 31,840,314.95
  5. Step 5: Solve for x
    x = 31,840,314.95/8,151.74
  6. Step 6: Final answer
    x = 3,905.95

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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.