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Finding the Fourth Proportional to 7,780.25, 11,661.77 and 3,098.25

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Solution

The fourth proportional to 7,780.25, 11,661.77 and 3,098.25 is: 4,643.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780.25 : 11,661.77 = 3,098.25 : x
  2. Step 2: Convert to fraction form
    7,780.25/11,661.77 = 3,098.25/x
  3. Step 3: Cross multiply
    7,780.25x = 11,661.77 × 3,098.25
  4. Step 4: Simplify right side
    7,780.25x = 36,131,086.65
  5. Step 5: Solve for x
    x = 36,131,086.65/7,780.25
  6. Step 6: Final answer
    x = 4,643.95

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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.