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Finding the Fourth Proportional to 11,711.90, 17,567.89 and 4,313.16

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Solution

The fourth proportional to 11,711.90, 17,567.89 and 4,313.16 is: 6,469.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,711.90 : 17,567.89 = 4,313.16 : x
  2. Step 2: Convert to fraction form
    11,711.90/17,567.89 = 4,313.16/x
  3. Step 3: Cross multiply
    11,711.90x = 17,567.89 × 4,313.16
  4. Step 4: Simplify right side
    11,711.90x = 75,773,109.65
  5. Step 5: Solve for x
    x = 75,773,109.65/11,711.90
  6. Step 6: Final answer
    x = 6,469.75

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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.