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Finding the Fourth Proportional to 7,398.37, 11,081.10 and 6,822.16

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Solution

The fourth proportional to 7,398.37, 11,081.10 and 6,822.16 is: 10,218.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,398.37 : 11,081.10 = 6,822.16 : x
  2. Step 2: Convert to fraction form
    7,398.37/11,081.10 = 6,822.16/x
  3. Step 3: Cross multiply
    7,398.37x = 11,081.10 × 6,822.16
  4. Step 4: Simplify right side
    7,398.37x = 75,597,037.18
  5. Step 5: Solve for x
    x = 75,597,037.18/7,398.37
  6. Step 6: Final answer
    x = 10,218.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.