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Finding the Fourth Proportional to 8,591.94, 12,875.67 and 5,082.66

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Solution

The fourth proportional to 8,591.94, 12,875.67 and 5,082.66 is: 7,616.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,591.94 : 12,875.67 = 5,082.66 : x
  2. Step 2: Convert to fraction form
    8,591.94/12,875.67 = 5,082.66/x
  3. Step 3: Cross multiply
    8,591.94x = 12,875.67 × 5,082.66
  4. Step 4: Simplify right side
    8,591.94x = 65,442,652.88
  5. Step 5: Solve for x
    x = 65,442,652.88/8,591.94
  6. Step 6: Final answer
    x = 7,616.75

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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.