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Finding the Fourth Proportional to 7,711.36, 11,567.04 and 3,811.84

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Solution

The fourth proportional to 7,711.36, 11,567.04 and 3,811.84 is: 5,717.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.36 : 11,567.04 = 3,811.84 : x
  2. Step 2: Convert to fraction form
    7,711.36/11,567.04 = 3,811.84/x
  3. Step 3: Cross multiply
    7,711.36x = 11,567.04 × 3,811.84
  4. Step 4: Simplify right side
    7,711.36x = 44,091,705.75
  5. Step 5: Solve for x
    x = 44,091,705.75/7,711.36
  6. Step 6: Final answer
    x = 5,717.76

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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.