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Finding the Fourth Proportional to 8,102.16, 11,180.16 and 4,698

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Solution

The fourth proportional to 8,102.16, 11,180.16 and 4,698 is: 6,482.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.16 : 11,180.16 = 4,698 : x
  2. Step 2: Convert to fraction form
    8,102.16/11,180.16 = 4,698/x
  3. Step 3: Cross multiply
    8,102.16x = 11,180.16 × 4,698
  4. Step 4: Simplify right side
    8,102.16x = 52,524,391.68
  5. Step 5: Solve for x
    x = 52,524,391.68/8,102.16
  6. Step 6: Final answer
    x = 6,482.76

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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.