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Finding the Fourth Proportional to 11,274, 15,558.24 and 6,238.32

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Solution

The fourth proportional to 11,274, 15,558.24 and 6,238.32 is: 8,608.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,274 : 15,558.24 = 6,238.32 : x
  2. Step 2: Convert to fraction form
    11,274/15,558.24 = 6,238.32/x
  3. Step 3: Cross multiply
    11,274x = 15,558.24 × 6,238.32
  4. Step 4: Simplify right side
    11,274x = 97,057,279.76
  5. Step 5: Solve for x
    x = 97,057,279.76/11,274
  6. Step 6: Final answer
    x = 8,608.95

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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.