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Finding the Fourth Proportional to 7,627.83, 11,420.17 and 4,847.61

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Solution

The fourth proportional to 7,627.83, 11,420.17 and 4,847.61 is: 7,257.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,627.83 : 11,420.17 = 4,847.61 : x
  2. Step 2: Convert to fraction form
    7,627.83/11,420.17 = 4,847.61/x
  3. Step 3: Cross multiply
    7,627.83x = 11,420.17 × 4,847.61
  4. Step 4: Simplify right side
    7,627.83x = 55,360,530.29
  5. Step 5: Solve for x
    x = 55,360,530.29/7,627.83
  6. Step 6: Final answer
    x = 7,257.70

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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.