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Finding the Fourth Proportional to 11,192.02, 15,446.73 and 6,412.12

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Solution

The fourth proportional to 11,192.02, 15,446.73 and 6,412.12 is: 8,849.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,192.02 : 15,446.73 = 6,412.12 : x
  2. Step 2: Convert to fraction form
    11,192.02/15,446.73 = 6,412.12/x
  3. Step 3: Cross multiply
    11,192.02x = 15,446.73 × 6,412.12
  4. Step 4: Simplify right side
    11,192.02x = 99,046,286.37
  5. Step 5: Solve for x
    x = 99,046,286.37/11,192.02
  6. Step 6: Final answer
    x = 8,849.72

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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.