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Finding the Fourth Proportional to 8,140.87, 12,201.98 and 3,454.01

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Solution

The fourth proportional to 8,140.87, 12,201.98 and 3,454.01 is: 5,177.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.87 : 12,201.98 = 3,454.01 : x
  2. Step 2: Convert to fraction form
    8,140.87/12,201.98 = 3,454.01/x
  3. Step 3: Cross multiply
    8,140.87x = 12,201.98 × 3,454.01
  4. Step 4: Simplify right side
    8,140.87x = 42,145,699.93
  5. Step 5: Solve for x
    x = 42,145,699.93/8,140.87
  6. Step 6: Final answer
    x = 5,177.05

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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.