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Finding the Fourth Proportional to 8,225.31, 11,348.06 and 5,706.75

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Solution

The fourth proportional to 8,225.31, 11,348.06 and 5,706.75 is: 7,873.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,225.31 : 11,348.06 = 5,706.75 : x
  2. Step 2: Convert to fraction form
    8,225.31/11,348.06 = 5,706.75/x
  3. Step 3: Cross multiply
    8,225.31x = 11,348.06 × 5,706.75
  4. Step 4: Simplify right side
    8,225.31x = 64,760,512.87
  5. Step 5: Solve for x
    x = 64,760,512.87/8,225.31
  6. Step 6: Final answer
    x = 7,873.32

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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.