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Finding the Fourth Proportional to 7,478.80, 10,321.66 and 4,496.20

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Solution

The fourth proportional to 7,478.80, 10,321.66 and 4,496.20 is: 6,205.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,478.80 : 10,321.66 = 4,496.20 : x
  2. Step 2: Convert to fraction form
    7,478.80/10,321.66 = 4,496.20/x
  3. Step 3: Cross multiply
    7,478.80x = 10,321.66 × 4,496.20
  4. Step 4: Simplify right side
    7,478.80x = 46,408,247.69
  5. Step 5: Solve for x
    x = 46,408,247.69/7,478.80
  6. Step 6: Final answer
    x = 6,205.31

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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.