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Finding the Fourth Proportional to 8,268.59, 11,406.88 and 5,756.87

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Solution

The fourth proportional to 8,268.59, 11,406.88 and 5,756.87 is: 7,941.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,268.59 : 11,406.88 = 5,756.87 : x
  2. Step 2: Convert to fraction form
    8,268.59/11,406.88 = 5,756.87/x
  3. Step 3: Cross multiply
    8,268.59x = 11,406.88 × 5,756.87
  4. Step 4: Simplify right side
    8,268.59x = 65,667,960.98
  5. Step 5: Solve for x
    x = 65,667,960.98/8,268.59
  6. Step 6: Final answer
    x = 7,941.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.