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Finding the Fourth Proportional to 8,014.98, 11,061.24 and 4,478.34

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Solution

The fourth proportional to 8,014.98, 11,061.24 and 4,478.34 is: 6,180.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,014.98 : 11,061.24 = 4,478.34 : x
  2. Step 2: Convert to fraction form
    8,014.98/11,061.24 = 4,478.34/x
  3. Step 3: Cross multiply
    8,014.98x = 11,061.24 × 4,478.34
  4. Step 4: Simplify right side
    8,014.98x = 49,535,993.54
  5. Step 5: Solve for x
    x = 49,535,993.54/8,014.98
  6. Step 6: Final answer
    x = 6,180.43

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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.