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Finding the Fourth Proportional to 11,688.57, 17,506.71 and 5,439.23

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Solution

The fourth proportional to 11,688.57, 17,506.71 and 5,439.23 is: 8,146.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,688.57 : 17,506.71 = 5,439.23 : x
  2. Step 2: Convert to fraction form
    11,688.57/17,506.71 = 5,439.23/x
  3. Step 3: Cross multiply
    11,688.57x = 17,506.71 × 5,439.23
  4. Step 4: Simplify right side
    11,688.57x = 95,222,934.70
  5. Step 5: Solve for x
    x = 95,222,934.70/11,688.57
  6. Step 6: Final answer
    x = 8,146.67

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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.