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Finding the Fourth Proportional to 8,073.84, 11,141.36 and 5,420.84

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Solution

The fourth proportional to 8,073.84, 11,141.36 and 5,420.84 is: 7,480.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,073.84 : 11,141.36 = 5,420.84 : x
  2. Step 2: Convert to fraction form
    8,073.84/11,141.36 = 5,420.84/x
  3. Step 3: Cross multiply
    8,073.84x = 11,141.36 × 5,420.84
  4. Step 4: Simplify right side
    8,073.84x = 60,395,529.94
  5. Step 5: Solve for x
    x = 60,395,529.94/8,073.84
  6. Step 6: Final answer
    x = 7,480.40

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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.