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Finding the Fourth Proportional to 6,911.10, 10,377.03 and 4,150.13

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Solution

The fourth proportional to 6,911.10, 10,377.03 and 4,150.13 is: 6,231.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.10 : 10,377.03 = 4,150.13 : x
  2. Step 2: Convert to fraction form
    6,911.10/10,377.03 = 4,150.13/x
  3. Step 3: Cross multiply
    6,911.10x = 10,377.03 × 4,150.13
  4. Step 4: Simplify right side
    6,911.10x = 43,065,971.63
  5. Step 5: Solve for x
    x = 43,065,971.63/6,911.10
  6. Step 6: Final answer
    x = 6,231.42

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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.