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Finding the Fourth Proportional to 8,164.62, 11,267.66 and 4,806.66

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Solution

The fourth proportional to 8,164.62, 11,267.66 and 4,806.66 is: 6,633.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.62 : 11,267.66 = 4,806.66 : x
  2. Step 2: Convert to fraction form
    8,164.62/11,267.66 = 4,806.66/x
  3. Step 3: Cross multiply
    8,164.62x = 11,267.66 × 4,806.66
  4. Step 4: Simplify right side
    8,164.62x = 54,159,810.62
  5. Step 5: Solve for x
    x = 54,159,810.62/8,164.62
  6. Step 6: Final answer
    x = 6,633.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.