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Finding the Fourth Proportional to 6,922.87, 10,380.14 and 2,915.47

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Solution

The fourth proportional to 6,922.87, 10,380.14 and 2,915.47 is: 4,371.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,922.87 : 10,380.14 = 2,915.47 : x
  2. Step 2: Convert to fraction form
    6,922.87/10,380.14 = 2,915.47/x
  3. Step 3: Cross multiply
    6,922.87x = 10,380.14 × 2,915.47
  4. Step 4: Simplify right side
    6,922.87x = 30,262,962.80
  5. Step 5: Solve for x
    x = 30,262,962.80/6,922.87
  6. Step 6: Final answer
    x = 4,371.45

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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.