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Finding the Fourth Proportional to 10,325.92, 14,249.54 and 6,018.74

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Solution

The fourth proportional to 10,325.92, 14,249.54 and 6,018.74 is: 8,305.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,325.92 : 14,249.54 = 6,018.74 : x
  2. Step 2: Convert to fraction form
    10,325.92/14,249.54 = 6,018.74/x
  3. Step 3: Cross multiply
    10,325.92x = 14,249.54 × 6,018.74
  4. Step 4: Simplify right side
    10,325.92x = 85,764,276.38
  5. Step 5: Solve for x
    x = 85,764,276.38/10,325.92
  6. Step 6: Final answer
    x = 8,305.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.