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Finding the Fourth Proportional to 7,853.28, 10,847.12 and 5,872.64

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Solution

The fourth proportional to 7,853.28, 10,847.12 and 5,872.64 is: 8,111.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.28 : 10,847.12 = 5,872.64 : x
  2. Step 2: Convert to fraction form
    7,853.28/10,847.12 = 5,872.64/x
  3. Step 3: Cross multiply
    7,853.28x = 10,847.12 × 5,872.64
  4. Step 4: Simplify right side
    7,853.28x = 63,701,230.80
  5. Step 5: Solve for x
    x = 63,701,230.80/7,853.28
  6. Step 6: Final answer
    x = 8,111.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.