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Finding the Fourth Proportional to 11,711.46, 17,564.65 and 3,706.85

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Solution

The fourth proportional to 11,711.46, 17,564.65 and 3,706.85 is: 5,559.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,711.46 : 17,564.65 = 3,706.85 : x
  2. Step 2: Convert to fraction form
    11,711.46/17,564.65 = 3,706.85/x
  3. Step 3: Cross multiply
    11,711.46x = 17,564.65 × 3,706.85
  4. Step 4: Simplify right side
    11,711.46x = 65,109,574.42
  5. Step 5: Solve for x
    x = 65,109,574.42/11,711.46
  6. Step 6: Final answer
    x = 5,559.47

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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.