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Finding the Fourth Proportional to 10,222.01, 15,322.07 and 5,286.68

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Solution

The fourth proportional to 10,222.01, 15,322.07 and 5,286.68 is: 7,924.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,222.01 : 15,322.07 = 5,286.68 : x
  2. Step 2: Convert to fraction form
    10,222.01/15,322.07 = 5,286.68/x
  3. Step 3: Cross multiply
    10,222.01x = 15,322.07 × 5,286.68
  4. Step 4: Simplify right side
    10,222.01x = 81,002,875.09
  5. Step 5: Solve for x
    x = 81,002,875.09/10,222.01
  6. Step 6: Final answer
    x = 7,924.36

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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.