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Finding the Fourth Proportional to 6,691.06, 10,042.75 and 3,406.50

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Solution

The fourth proportional to 6,691.06, 10,042.75 and 3,406.50 is: 5,112.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,691.06 : 10,042.75 = 3,406.50 : x
  2. Step 2: Convert to fraction form
    6,691.06/10,042.75 = 3,406.50/x
  3. Step 3: Cross multiply
    6,691.06x = 10,042.75 × 3,406.50
  4. Step 4: Simplify right side
    6,691.06x = 34,210,627.88
  5. Step 5: Solve for x
    x = 34,210,627.88/6,691.06
  6. Step 6: Final answer
    x = 5,112.89

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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.