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Finding the Fourth Proportional to 11,120.42, 15,324.98 and 7,971.14

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Solution

The fourth proportional to 11,120.42, 15,324.98 and 7,971.14 is: 10,984.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,120.42 : 15,324.98 = 7,971.14 : x
  2. Step 2: Convert to fraction form
    11,120.42/15,324.98 = 7,971.14/x
  3. Step 3: Cross multiply
    11,120.42x = 15,324.98 × 7,971.14
  4. Step 4: Simplify right side
    11,120.42x = 122,157,444.60
  5. Step 5: Solve for x
    x = 122,157,444.60/11,120.42
  6. Step 6: Final answer
    x = 10,984.97

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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.