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Finding the Fourth Proportional to 8,310.02, 11,469.51 and 4,775.66

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Solution

The fourth proportional to 8,310.02, 11,469.51 and 4,775.66 is: 6,591.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,310.02 : 11,469.51 = 4,775.66 : x
  2. Step 2: Convert to fraction form
    8,310.02/11,469.51 = 4,775.66/x
  3. Step 3: Cross multiply
    8,310.02x = 11,469.51 × 4,775.66
  4. Step 4: Simplify right side
    8,310.02x = 54,774,480.13
  5. Step 5: Solve for x
    x = 54,774,480.13/8,310.02
  6. Step 6: Final answer
    x = 6,591.38

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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.