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Finding the Fourth Proportional to 7,775.44, 11,662.20 and 3,158.48

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Solution

The fourth proportional to 7,775.44, 11,662.20 and 3,158.48 is: 4,737.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.44 : 11,662.20 = 3,158.48 : x
  2. Step 2: Convert to fraction form
    7,775.44/11,662.20 = 3,158.48/x
  3. Step 3: Cross multiply
    7,775.44x = 11,662.20 × 3,158.48
  4. Step 4: Simplify right side
    7,775.44x = 36,834,825.46
  5. Step 5: Solve for x
    x = 36,834,825.46/7,775.44
  6. Step 6: Final answer
    x = 4,737.33

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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.