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Finding the Fourth Proportional to 6,911.12, 10,367.16 and 2,294

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Solution

The fourth proportional to 6,911.12, 10,367.16 and 2,294 is: 3,441.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.12 : 10,367.16 = 2,294 : x
  2. Step 2: Convert to fraction form
    6,911.12/10,367.16 = 2,294/x
  3. Step 3: Cross multiply
    6,911.12x = 10,367.16 × 2,294
  4. Step 4: Simplify right side
    6,911.12x = 23,782,265.04
  5. Step 5: Solve for x
    x = 23,782,265.04/6,911.12
  6. Step 6: Final answer
    x = 3,441.16

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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.