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Finding the Fourth Proportional to 11,204.24, 15,460.44 and 6,488.48

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Solution

The fourth proportional to 11,204.24, 15,460.44 and 6,488.48 is: 8,953.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,204.24 : 15,460.44 = 6,488.48 : x
  2. Step 2: Convert to fraction form
    11,204.24/15,460.44 = 6,488.48/x
  3. Step 3: Cross multiply
    11,204.24x = 15,460.44 × 6,488.48
  4. Step 4: Simplify right side
    11,204.24x = 100,314,755.73
  5. Step 5: Solve for x
    x = 100,314,755.73/11,204.24
  6. Step 6: Final answer
    x = 8,953.29

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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.