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Finding the Fourth Proportional to 10,222.08, 15,335.52 and 5,542.08

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Solution

The fourth proportional to 10,222.08, 15,335.52 and 5,542.08 is: 8,314.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,222.08 : 15,335.52 = 5,542.08 : x
  2. Step 2: Convert to fraction form
    10,222.08/15,335.52 = 5,542.08/x
  3. Step 3: Cross multiply
    10,222.08x = 15,335.52 × 5,542.08
  4. Step 4: Simplify right side
    10,222.08x = 84,990,678.68
  5. Step 5: Solve for x
    x = 84,990,678.68/10,222.08
  6. Step 6: Final answer
    x = 8,314.42

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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.