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Finding the Fourth Proportional to 8,212.57, 11,334.18 and 4,856.47

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Solution

The fourth proportional to 8,212.57, 11,334.18 and 4,856.47 is: 6,702.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.57 : 11,334.18 = 4,856.47 : x
  2. Step 2: Convert to fraction form
    8,212.57/11,334.18 = 4,856.47/x
  3. Step 3: Cross multiply
    8,212.57x = 11,334.18 × 4,856.47
  4. Step 4: Simplify right side
    8,212.57x = 55,044,105.14
  5. Step 5: Solve for x
    x = 55,044,105.14/8,212.57
  6. Step 6: Final answer
    x = 6,702.42

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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.