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Finding the Fourth Proportional to 8,107.89, 11,195.86 and 5,129.01

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Solution

The fourth proportional to 8,107.89, 11,195.86 and 5,129.01 is: 7,082.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.89 : 11,195.86 = 5,129.01 : x
  2. Step 2: Convert to fraction form
    8,107.89/11,195.86 = 5,129.01/x
  3. Step 3: Cross multiply
    8,107.89x = 11,195.86 × 5,129.01
  4. Step 4: Simplify right side
    8,107.89x = 57,423,720.61
  5. Step 5: Solve for x
    x = 57,423,720.61/8,107.89
  6. Step 6: Final answer
    x = 7,082.45

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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.