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Finding the Fourth Proportional to 10,249.80, 14,148.26 and 6,002.22

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Solution

The fourth proportional to 10,249.80, 14,148.26 and 6,002.22 is: 8,285.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,249.80 : 14,148.26 = 6,002.22 : x
  2. Step 2: Convert to fraction form
    10,249.80/14,148.26 = 6,002.22/x
  3. Step 3: Cross multiply
    10,249.80x = 14,148.26 × 6,002.22
  4. Step 4: Simplify right side
    10,249.80x = 84,920,939.13
  5. Step 5: Solve for x
    x = 84,920,939.13/10,249.80
  6. Step 6: Final answer
    x = 8,285.13

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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.