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Finding the Fourth Proportional to 8,202.94, 11,320.05 and 5,060.95

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Solution

The fourth proportional to 8,202.94, 11,320.05 and 5,060.95 is: 6,984.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.94 : 11,320.05 = 5,060.95 : x
  2. Step 2: Convert to fraction form
    8,202.94/11,320.05 = 5,060.95/x
  3. Step 3: Cross multiply
    8,202.94x = 11,320.05 × 5,060.95
  4. Step 4: Simplify right side
    8,202.94x = 57,290,197.73
  5. Step 5: Solve for x
    x = 57,290,197.73/8,202.94
  6. Step 6: Final answer
    x = 6,984.11

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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.