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Finding the Fourth Proportional to 7,758.18, 11,634.12 and 3,811.14

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Solution

The fourth proportional to 7,758.18, 11,634.12 and 3,811.14 is: 5,715.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.18 : 11,634.12 = 3,811.14 : x
  2. Step 2: Convert to fraction form
    7,758.18/11,634.12 = 3,811.14/x
  3. Step 3: Cross multiply
    7,758.18x = 11,634.12 × 3,811.14
  4. Step 4: Simplify right side
    7,758.18x = 44,339,260.10
  5. Step 5: Solve for x
    x = 44,339,260.10/7,758.18
  6. Step 6: Final answer
    x = 5,715.16

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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.