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Finding the Fourth Proportional to 11,685.40, 17,509.38 and 6,138.52

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Solution

The fourth proportional to 11,685.40, 17,509.38 and 6,138.52 is: 9,197.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,685.40 : 17,509.38 = 6,138.52 : x
  2. Step 2: Convert to fraction form
    11,685.40/17,509.38 = 6,138.52/x
  3. Step 3: Cross multiply
    11,685.40x = 17,509.38 × 6,138.52
  4. Step 4: Simplify right side
    11,685.40x = 107,481,679.32
  5. Step 5: Solve for x
    x = 107,481,679.32/11,685.40
  6. Step 6: Final answer
    x = 9,197.95

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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.