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Finding the Fourth Proportional to 8,116.39, 12,164.22 and 4,603.81

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Solution

The fourth proportional to 8,116.39, 12,164.22 and 4,603.81 is: 6,899.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,116.39 : 12,164.22 = 4,603.81 : x
  2. Step 2: Convert to fraction form
    8,116.39/12,164.22 = 4,603.81/x
  3. Step 3: Cross multiply
    8,116.39x = 12,164.22 × 4,603.81
  4. Step 4: Simplify right side
    8,116.39x = 56,001,757.68
  5. Step 5: Solve for x
    x = 56,001,757.68/8,116.39
  6. Step 6: Final answer
    x = 6,899.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.