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Finding the Fourth Proportional to 7,817.90, 11,727.87 and 2,551.06

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Solution

The fourth proportional to 7,817.90, 11,727.87 and 2,551.06 is: 3,826.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.90 : 11,727.87 = 2,551.06 : x
  2. Step 2: Convert to fraction form
    7,817.90/11,727.87 = 2,551.06/x
  3. Step 3: Cross multiply
    7,817.90x = 11,727.87 × 2,551.06
  4. Step 4: Simplify right side
    7,817.90x = 29,918,428.65
  5. Step 5: Solve for x
    x = 29,918,428.65/7,817.90
  6. Step 6: Final answer
    x = 3,826.91

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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.