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Finding the Fourth Proportional to 7,728.40, 11,596.80 and 4,218.20

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Solution

The fourth proportional to 7,728.40, 11,596.80 and 4,218.20 is: 6,329.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.40 : 11,596.80 = 4,218.20 : x
  2. Step 2: Convert to fraction form
    7,728.40/11,596.80 = 4,218.20/x
  3. Step 3: Cross multiply
    7,728.40x = 11,596.80 × 4,218.20
  4. Step 4: Simplify right side
    7,728.40x = 48,917,621.76
  5. Step 5: Solve for x
    x = 48,917,621.76/7,728.40
  6. Step 6: Final answer
    x = 6,329.59

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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.