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Finding the Fourth Proportional to 11,626.80, 17,438.28 and 5,386.56

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Solution

The fourth proportional to 11,626.80, 17,438.28 and 5,386.56 is: 8,078.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,626.80 : 17,438.28 = 5,386.56 : x
  2. Step 2: Convert to fraction form
    11,626.80/17,438.28 = 5,386.56/x
  3. Step 3: Cross multiply
    11,626.80x = 17,438.28 × 5,386.56
  4. Step 4: Simplify right side
    11,626.80x = 93,932,341.52
  5. Step 5: Solve for x
    x = 93,932,341.52/11,626.80
  6. Step 6: Final answer
    x = 8,078.95

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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.