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Finding the Fourth Proportional to 11,130.44, 16,696.17 and 6,196.35

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Solution

The fourth proportional to 11,130.44, 16,696.17 and 6,196.35 is: 9,294.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,130.44 : 16,696.17 = 6,196.35 : x
  2. Step 2: Convert to fraction form
    11,130.44/16,696.17 = 6,196.35/x
  3. Step 3: Cross multiply
    11,130.44x = 16,696.17 × 6,196.35
  4. Step 4: Simplify right side
    11,130.44x = 103,455,375.59
  5. Step 5: Solve for x
    x = 103,455,375.59/11,130.44
  6. Step 6: Final answer
    x = 9,294.82

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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.