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Finding the Fourth Proportional to 7,772.19, 11,658.32 and 2,839.79

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Solution

The fourth proportional to 7,772.19, 11,658.32 and 2,839.79 is: 4,259.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.19 : 11,658.32 = 2,839.79 : x
  2. Step 2: Convert to fraction form
    7,772.19/11,658.32 = 2,839.79/x
  3. Step 3: Cross multiply
    7,772.19x = 11,658.32 × 2,839.79
  4. Step 4: Simplify right side
    7,772.19x = 33,107,180.55
  5. Step 5: Solve for x
    x = 33,107,180.55/7,772.19
  6. Step 6: Final answer
    x = 4,259.70

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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.