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Finding the Fourth Proportional to 7,773.97, 11,658.83 and 4,651.52

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Solution

The fourth proportional to 7,773.97, 11,658.83 and 4,651.52 is: 6,976.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.97 : 11,658.83 = 4,651.52 : x
  2. Step 2: Convert to fraction form
    7,773.97/11,658.83 = 4,651.52/x
  3. Step 3: Cross multiply
    7,773.97x = 11,658.83 × 4,651.52
  4. Step 4: Simplify right side
    7,773.97x = 54,231,257.66
  5. Step 5: Solve for x
    x = 54,231,257.66/7,773.97
  6. Step 6: Final answer
    x = 6,976.01

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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.