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Finding the Fourth Proportional to 8,152.28, 11,254.92 and 5,912

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Solution

The fourth proportional to 8,152.28, 11,254.92 and 5,912 is: 8,162.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152.28 : 11,254.92 = 5,912 : x
  2. Step 2: Convert to fraction form
    8,152.28/11,254.92 = 5,912/x
  3. Step 3: Cross multiply
    8,152.28x = 11,254.92 × 5,912
  4. Step 4: Simplify right side
    8,152.28x = 66,539,087.04
  5. Step 5: Solve for x
    x = 66,539,087.04/8,152.28
  6. Step 6: Final answer
    x = 8,162.02

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Why These Related Problems?

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