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Finding the Fourth Proportional to 11,222.52, 15,486.24 and 6,505.92

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Solution

The fourth proportional to 11,222.52, 15,486.24 and 6,505.92 is: 8,977.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,222.52 : 15,486.24 = 6,505.92 : x
  2. Step 2: Convert to fraction form
    11,222.52/15,486.24 = 6,505.92/x
  3. Step 3: Cross multiply
    11,222.52x = 15,486.24 × 6,505.92
  4. Step 4: Simplify right side
    11,222.52x = 100,752,238.54
  5. Step 5: Solve for x
    x = 100,752,238.54/11,222.52
  6. Step 6: Final answer
    x = 8,977.68

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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.