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Finding the Fourth Proportional to 7,711.38, 11,567.16 and 4,012.92

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Solution

The fourth proportional to 7,711.38, 11,567.16 and 4,012.92 is: 6,019.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.38 : 11,567.16 = 4,012.92 : x
  2. Step 2: Convert to fraction form
    7,711.38/11,567.16 = 4,012.92/x
  3. Step 3: Cross multiply
    7,711.38x = 11,567.16 × 4,012.92
  4. Step 4: Simplify right side
    7,711.38x = 46,418,087.71
  5. Step 5: Solve for x
    x = 46,418,087.71/7,711.38
  6. Step 6: Final answer
    x = 6,019.43

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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.