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Finding the Fourth Proportional to 11,161.14, 15,400.05 and 6,447.06

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Solution

The fourth proportional to 11,161.14, 15,400.05 and 6,447.06 is: 8,895.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,161.14 : 15,400.05 = 6,447.06 : x
  2. Step 2: Convert to fraction form
    11,161.14/15,400.05 = 6,447.06/x
  3. Step 3: Cross multiply
    11,161.14x = 15,400.05 × 6,447.06
  4. Step 4: Simplify right side
    11,161.14x = 99,285,046.35
  5. Step 5: Solve for x
    x = 99,285,046.35/11,161.14
  6. Step 6: Final answer
    x = 8,895.60

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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.