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Finding the Fourth Proportional to 8,104.70, 12,122.48 and 4,977.02

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Solution

The fourth proportional to 8,104.70, 12,122.48 and 4,977.02 is: 7,444.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,104.70 : 12,122.48 = 4,977.02 : x
  2. Step 2: Convert to fraction form
    8,104.70/12,122.48 = 4,977.02/x
  3. Step 3: Cross multiply
    8,104.70x = 12,122.48 × 4,977.02
  4. Step 4: Simplify right side
    8,104.70x = 60,333,777.24
  5. Step 5: Solve for x
    x = 60,333,777.24/8,104.70
  6. Step 6: Final answer
    x = 7,444.30

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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.