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Finding the Fourth Proportional to 6,862.97, 10,297.16 and 2,915.10

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Solution

The fourth proportional to 6,862.97, 10,297.16 and 2,915.10 is: 4,373.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862.97 : 10,297.16 = 2,915.10 : x
  2. Step 2: Convert to fraction form
    6,862.97/10,297.16 = 2,915.10/x
  3. Step 3: Cross multiply
    6,862.97x = 10,297.16 × 2,915.10
  4. Step 4: Simplify right side
    6,862.97x = 30,017,236.54
  5. Step 5: Solve for x
    x = 30,017,236.54/6,862.97
  6. Step 6: Final answer
    x = 4,373.80

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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.