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Finding the Fourth Proportional to 7,600.80, 11,405.16 and 4,828.80

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Solution

The fourth proportional to 7,600.80, 11,405.16 and 4,828.80 is: 7,245.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,600.80 : 11,405.16 = 4,828.80 : x
  2. Step 2: Convert to fraction form
    7,600.80/11,405.16 = 4,828.80/x
  3. Step 3: Cross multiply
    7,600.80x = 11,405.16 × 4,828.80
  4. Step 4: Simplify right side
    7,600.80x = 55,073,236.61
  5. Step 5: Solve for x
    x = 55,073,236.61/7,600.80
  6. Step 6: Final answer
    x = 7,245.72

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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.