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Finding the Fourth Proportional to 8,014.38, 11,060.04 and 4,477.82

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Solution

The fourth proportional to 8,014.38, 11,060.04 and 4,477.82 is: 6,179.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,014.38 : 11,060.04 = 4,477.82 : x
  2. Step 2: Convert to fraction form
    8,014.38/11,060.04 = 4,477.82/x
  3. Step 3: Cross multiply
    8,014.38x = 11,060.04 × 4,477.82
  4. Step 4: Simplify right side
    8,014.38x = 49,524,829.80
  5. Step 5: Solve for x
    x = 49,524,829.80/8,014.38
  6. Step 6: Final answer
    x = 6,179.50

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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.