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Finding the Fourth Proportional to 7,480.92, 11,204.46 and 6,416.04

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Solution

The fourth proportional to 7,480.92, 11,204.46 and 6,416.04 is: 9,609.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,480.92 : 11,204.46 = 6,416.04 : x
  2. Step 2: Convert to fraction form
    7,480.92/11,204.46 = 6,416.04/x
  3. Step 3: Cross multiply
    7,480.92x = 11,204.46 × 6,416.04
  4. Step 4: Simplify right side
    7,480.92x = 71,888,263.54
  5. Step 5: Solve for x
    x = 71,888,263.54/7,480.92
  6. Step 6: Final answer
    x = 9,609.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.