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Finding the Fourth Proportional to 7,197.80, 10,778.68 and 4,557.36

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Solution

The fourth proportional to 7,197.80, 10,778.68 and 4,557.36 is: 6,824.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,197.80 : 10,778.68 = 4,557.36 : x
  2. Step 2: Convert to fraction form
    7,197.80/10,778.68 = 4,557.36/x
  3. Step 3: Cross multiply
    7,197.80x = 10,778.68 × 4,557.36
  4. Step 4: Simplify right side
    7,197.80x = 49,122,325.08
  5. Step 5: Solve for x
    x = 49,122,325.08/7,197.80
  6. Step 6: Final answer
    x = 6,824.63

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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.