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Finding the Fourth Proportional to 11,222.52, 15,486.42 and 6,743.64

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Solution

The fourth proportional to 11,222.52, 15,486.42 and 6,743.64 is: 9,305.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,222.52 : 15,486.42 = 6,743.64 : x
  2. Step 2: Convert to fraction form
    11,222.52/15,486.42 = 6,743.64/x
  3. Step 3: Cross multiply
    11,222.52x = 15,486.42 × 6,743.64
  4. Step 4: Simplify right side
    11,222.52x = 104,434,841.37
  5. Step 5: Solve for x
    x = 104,434,841.37/11,222.52
  6. Step 6: Final answer
    x = 9,305.83

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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.