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Finding the Fourth Proportional to 7,257.30, 10,017.20 and 4,739.80

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Solution

The fourth proportional to 7,257.30, 10,017.20 and 4,739.80 is: 6,542.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257.30 : 10,017.20 = 4,739.80 : x
  2. Step 2: Convert to fraction form
    7,257.30/10,017.20 = 4,739.80/x
  3. Step 3: Cross multiply
    7,257.30x = 10,017.20 × 4,739.80
  4. Step 4: Simplify right side
    7,257.30x = 47,479,524.56
  5. Step 5: Solve for x
    x = 47,479,524.56/7,257.30
  6. Step 6: Final answer
    x = 6,542.31

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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.