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Finding the Fourth Proportional to 6,911.96, 10,371.65 and 3,016.13

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Solution

The fourth proportional to 6,911.96, 10,371.65 and 3,016.13 is: 4,525.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.96 : 10,371.65 = 3,016.13 : x
  2. Step 2: Convert to fraction form
    6,911.96/10,371.65 = 3,016.13/x
  3. Step 3: Cross multiply
    6,911.96x = 10,371.65 × 3,016.13
  4. Step 4: Simplify right side
    6,911.96x = 31,282,244.71
  5. Step 5: Solve for x
    x = 31,282,244.71/6,911.96
  6. Step 6: Final answer
    x = 4,525.81

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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.