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Finding the Fourth Proportional to 8,431.11, 11,603.72 and 6,189.44

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Solution

The fourth proportional to 8,431.11, 11,603.72 and 6,189.44 is: 8,518.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.11 : 11,603.72 = 6,189.44 : x
  2. Step 2: Convert to fraction form
    8,431.11/11,603.72 = 6,189.44/x
  3. Step 3: Cross multiply
    8,431.11x = 11,603.72 × 6,189.44
  4. Step 4: Simplify right side
    8,431.11x = 71,820,486.17
  5. Step 5: Solve for x
    x = 71,820,486.17/8,431.11
  6. Step 6: Final answer
    x = 8,518.51

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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.