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Finding the Fourth Proportional to 11,204.70, 15,461.88 and 6,167.94

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Solution

The fourth proportional to 11,204.70, 15,461.88 and 6,167.94 is: 8,511.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,204.70 : 15,461.88 = 6,167.94 : x
  2. Step 2: Convert to fraction form
    11,204.70/15,461.88 = 6,167.94/x
  3. Step 3: Cross multiply
    11,204.70x = 15,461.88 × 6,167.94
  4. Step 4: Simplify right side
    11,204.70x = 95,367,948.13
  5. Step 5: Solve for x
    x = 95,367,948.13/11,204.70
  6. Step 6: Final answer
    x = 8,511.42

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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.