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Finding the Fourth Proportional to 11,147.70, 15,388.78 and 7,119.81

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Solution

The fourth proportional to 11,147.70, 15,388.78 and 7,119.81 is: 9,828.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,147.70 : 15,388.78 = 7,119.81 : x
  2. Step 2: Convert to fraction form
    11,147.70/15,388.78 = 7,119.81/x
  3. Step 3: Cross multiply
    11,147.70x = 15,388.78 × 7,119.81
  4. Step 4: Simplify right side
    11,147.70x = 109,565,189.73
  5. Step 5: Solve for x
    x = 109,565,189.73/11,147.70
  6. Step 6: Final answer
    x = 9,828.50

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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.