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Finding the Fourth Proportional to 8,717.50, 13,082.01 and 4,100.86

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Solution

The fourth proportional to 8,717.50, 13,082.01 and 4,100.86 is: 6,154.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,717.50 : 13,082.01 = 4,100.86 : x
  2. Step 2: Convert to fraction form
    8,717.50/13,082.01 = 4,100.86/x
  3. Step 3: Cross multiply
    8,717.50x = 13,082.01 × 4,100.86
  4. Step 4: Simplify right side
    8,717.50x = 53,647,491.53
  5. Step 5: Solve for x
    x = 53,647,491.53/8,717.50
  6. Step 6: Final answer
    x = 6,154.00

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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.