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Finding the Fourth Proportional to 11,409.14, 15,744.13 and 7,162.41

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Solution

The fourth proportional to 11,409.14, 15,744.13 and 7,162.41 is: 9,883.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,409.14 : 15,744.13 = 7,162.41 : x
  2. Step 2: Convert to fraction form
    11,409.14/15,744.13 = 7,162.41/x
  3. Step 3: Cross multiply
    11,409.14x = 15,744.13 × 7,162.41
  4. Step 4: Simplify right side
    11,409.14x = 112,765,914.15
  5. Step 5: Solve for x
    x = 112,765,914.15/11,409.14
  6. Step 6: Final answer
    x = 9,883.82

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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.