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Finding the Fourth Proportional to 8,029.86, 12,041.01 and 3,101.82

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Solution

The fourth proportional to 8,029.86, 12,041.01 and 3,101.82 is: 4,651.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,029.86 : 12,041.01 = 3,101.82 : x
  2. Step 2: Convert to fraction form
    8,029.86/12,041.01 = 3,101.82/x
  3. Step 3: Cross multiply
    8,029.86x = 12,041.01 × 3,101.82
  4. Step 4: Simplify right side
    8,029.86x = 37,349,045.64
  5. Step 5: Solve for x
    x = 37,349,045.64/8,029.86
  6. Step 6: Final answer
    x = 4,651.27

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Why These Related Problems?

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