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Finding the Fourth Proportional to 11,106, 15,327.24 and 6,138.96

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Solution

The fourth proportional to 11,106, 15,327.24 and 6,138.96 is: 8,472.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,106 : 15,327.24 = 6,138.96 : x
  2. Step 2: Convert to fraction form
    11,106/15,327.24 = 6,138.96/x
  3. Step 3: Cross multiply
    11,106x = 15,327.24 × 6,138.96
  4. Step 4: Simplify right side
    11,106x = 94,093,313.27
  5. Step 5: Solve for x
    x = 94,093,313.27/11,106
  6. Step 6: Final answer
    x = 8,472.30

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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.