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Finding the Fourth Proportional to 11,738.52, 16,195.95 and 7,549.20

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Solution

The fourth proportional to 11,738.52, 16,195.95 and 7,549.20 is: 10,415.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,738.52 : 16,195.95 = 7,549.20 : x
  2. Step 2: Convert to fraction form
    11,738.52/16,195.95 = 7,549.20/x
  3. Step 3: Cross multiply
    11,738.52x = 16,195.95 × 7,549.20
  4. Step 4: Simplify right side
    11,738.52x = 122,266,465.74
  5. Step 5: Solve for x
    x = 122,266,465.74/11,738.52
  6. Step 6: Final answer
    x = 10,415.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.