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Finding the Fourth Proportional to 6,689.30, 10,040.12 and 3,404.76

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Solution

The fourth proportional to 6,689.30, 10,040.12 and 3,404.76 is: 5,110.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.30 : 10,040.12 = 3,404.76 : x
  2. Step 2: Convert to fraction form
    6,689.30/10,040.12 = 3,404.76/x
  3. Step 3: Cross multiply
    6,689.30x = 10,040.12 × 3,404.76
  4. Step 4: Simplify right side
    6,689.30x = 34,184,198.97
  5. Step 5: Solve for x
    x = 34,184,198.97/6,689.30
  6. Step 6: Final answer
    x = 5,110.28

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