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Finding the Fourth Proportional to 7,915.76, 11,873.30 and 2,072.24

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Solution

The fourth proportional to 7,915.76, 11,873.30 and 2,072.24 is: 3,108.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,915.76 : 11,873.30 = 2,072.24 : x
  2. Step 2: Convert to fraction form
    7,915.76/11,873.30 = 2,072.24/x
  3. Step 3: Cross multiply
    7,915.76x = 11,873.30 × 2,072.24
  4. Step 4: Simplify right side
    7,915.76x = 24,604,257.46
  5. Step 5: Solve for x
    x = 24,604,257.46/7,915.76
  6. Step 6: Final answer
    x = 3,108.26

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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.