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Finding the Fourth Proportional to 7,758.68, 11,637.74 and 3,376.14

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Solution

The fourth proportional to 7,758.68, 11,637.74 and 3,376.14 is: 5,064.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.68 : 11,637.74 = 3,376.14 : x
  2. Step 2: Convert to fraction form
    7,758.68/11,637.74 = 3,376.14/x
  3. Step 3: Cross multiply
    7,758.68x = 11,637.74 × 3,376.14
  4. Step 4: Simplify right side
    7,758.68x = 39,290,639.52
  5. Step 5: Solve for x
    x = 39,290,639.52/7,758.68
  6. Step 6: Final answer
    x = 5,064.09

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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.