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Finding the Fourth Proportional to 8,177.59, 12,268.01 and 2,983.87

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Solution

The fourth proportional to 8,177.59, 12,268.01 and 2,983.87 is: 4,476.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,177.59 : 12,268.01 = 2,983.87 : x
  2. Step 2: Convert to fraction form
    8,177.59/12,268.01 = 2,983.87/x
  3. Step 3: Cross multiply
    8,177.59x = 12,268.01 × 2,983.87
  4. Step 4: Simplify right side
    8,177.59x = 36,606,147.00
  5. Step 5: Solve for x
    x = 36,606,147.00/8,177.59
  6. Step 6: Final answer
    x = 4,476.40

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Why These Related Problems?

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