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Finding the Fourth Proportional to 6,911.10, 10,366.65 and 6,327.90

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Solution

The fourth proportional to 6,911.10, 10,366.65 and 6,327.90 is: 9,491.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.10 : 10,366.65 = 6,327.90 : x
  2. Step 2: Convert to fraction form
    6,911.10/10,366.65 = 6,327.90/x
  3. Step 3: Cross multiply
    6,911.10x = 10,366.65 × 6,327.90
  4. Step 4: Simplify right side
    6,911.10x = 65,599,124.54
  5. Step 5: Solve for x
    x = 65,599,124.54/6,911.10
  6. Step 6: Final answer
    x = 9,491.85

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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.