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Finding the Fourth Proportional to 7,896.72, 11,851.56 and 4,002.24

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Solution

The fourth proportional to 7,896.72, 11,851.56 and 4,002.24 is: 6,006.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,896.72 : 11,851.56 = 4,002.24 : x
  2. Step 2: Convert to fraction form
    7,896.72/11,851.56 = 4,002.24/x
  3. Step 3: Cross multiply
    7,896.72x = 11,851.56 × 4,002.24
  4. Step 4: Simplify right side
    7,896.72x = 47,432,787.49
  5. Step 5: Solve for x
    x = 47,432,787.49/7,896.72
  6. Step 6: Final answer
    x = 6,006.64

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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.