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Finding the Fourth Proportional to 8,140.83, 11,234.60 and 4,603.97

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Solution

The fourth proportional to 8,140.83, 11,234.60 and 4,603.97 is: 6,353.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.83 : 11,234.60 = 4,603.97 : x
  2. Step 2: Convert to fraction form
    8,140.83/11,234.60 = 4,603.97/x
  3. Step 3: Cross multiply
    8,140.83x = 11,234.60 × 4,603.97
  4. Step 4: Simplify right side
    8,140.83x = 51,723,682.17
  5. Step 5: Solve for x
    x = 51,723,682.17/8,140.83
  6. Step 6: Final answer
    x = 6,353.61

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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.