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Finding the Fourth Proportional to 8,184.92, 11,295.53 and 4,648.13

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Solution

The fourth proportional to 8,184.92, 11,295.53 and 4,648.13 is: 6,414.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.92 : 11,295.53 = 4,648.13 : x
  2. Step 2: Convert to fraction form
    8,184.92/11,295.53 = 4,648.13/x
  3. Step 3: Cross multiply
    8,184.92x = 11,295.53 × 4,648.13
  4. Step 4: Simplify right side
    8,184.92x = 52,503,012.14
  5. Step 5: Solve for x
    x = 52,503,012.14/8,184.92
  6. Step 6: Final answer
    x = 6,414.61

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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.