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Finding the Fourth Proportional to 8,257.96, 11,395.86 and 4,531.96

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Solution

The fourth proportional to 8,257.96, 11,395.86 and 4,531.96 is: 6,254.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.96 : 11,395.86 = 4,531.96 : x
  2. Step 2: Convert to fraction form
    8,257.96/11,395.86 = 4,531.96/x
  3. Step 3: Cross multiply
    8,257.96x = 11,395.86 × 4,531.96
  4. Step 4: Simplify right side
    8,257.96x = 51,645,581.69
  5. Step 5: Solve for x
    x = 51,645,581.69/8,257.96
  6. Step 6: Final answer
    x = 6,254.04

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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.