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Finding the Fourth Proportional to 7,777.62, 11,664 and 3,393.90

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Solution

The fourth proportional to 7,777.62, 11,664 and 3,393.90 is: 5,089.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.62 : 11,664 = 3,393.90 : x
  2. Step 2: Convert to fraction form
    7,777.62/11,664 = 3,393.90/x
  3. Step 3: Cross multiply
    7,777.62x = 11,664 × 3,393.90
  4. Step 4: Simplify right side
    7,777.62x = 39,586,449.60
  5. Step 5: Solve for x
    x = 39,586,449.60/7,777.62
  6. Step 6: Final answer
    x = 5,089.79

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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.