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Finding the Fourth Proportional to 11,711.67, 17,564.73 and 4,312.13

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Solution

The fourth proportional to 11,711.67, 17,564.73 and 4,312.13 is: 6,467.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,711.67 : 17,564.73 = 4,312.13 : x
  2. Step 2: Convert to fraction form
    11,711.67/17,564.73 = 4,312.13/x
  3. Step 3: Cross multiply
    11,711.67x = 17,564.73 × 4,312.13
  4. Step 4: Simplify right side
    11,711.67x = 75,741,311.35
  5. Step 5: Solve for x
    x = 75,741,311.35/11,711.67
  6. Step 6: Final answer
    x = 6,467.17

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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.