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Finding the Fourth Proportional to 8,103.95, 12,155.93 and 1,947.95

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Solution

The fourth proportional to 8,103.95, 12,155.93 and 1,947.95 is: 2,921.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,103.95 : 12,155.93 = 1,947.95 : x
  2. Step 2: Convert to fraction form
    8,103.95/12,155.93 = 1,947.95/x
  3. Step 3: Cross multiply
    8,103.95x = 12,155.93 × 1,947.95
  4. Step 4: Simplify right side
    8,103.95x = 23,679,143.84
  5. Step 5: Solve for x
    x = 23,679,143.84/8,103.95
  6. Step 6: Final answer
    x = 2,921.93

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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.