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Finding the Fourth Proportional to 11,166.44, 15,409.89 and 6,131.14

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Solution

The fourth proportional to 11,166.44, 15,409.89 and 6,131.14 is: 8,461.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,166.44 : 15,409.89 = 6,131.14 : x
  2. Step 2: Convert to fraction form
    11,166.44/15,409.89 = 6,131.14/x
  3. Step 3: Cross multiply
    11,166.44x = 15,409.89 × 6,131.14
  4. Step 4: Simplify right side
    11,166.44x = 94,480,192.97
  5. Step 5: Solve for x
    x = 94,480,192.97/11,166.44
  6. Step 6: Final answer
    x = 8,461.08

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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.