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Finding the Fourth Proportional to 8,144.83, 11,240.12 and 4,607.97

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Solution

The fourth proportional to 8,144.83, 11,240.12 and 4,607.97 is: 6,359.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.83 : 11,240.12 = 4,607.97 : x
  2. Step 2: Convert to fraction form
    8,144.83/11,240.12 = 4,607.97/x
  3. Step 3: Cross multiply
    8,144.83x = 11,240.12 × 4,607.97
  4. Step 4: Simplify right side
    8,144.83x = 51,794,135.76
  5. Step 5: Solve for x
    x = 51,794,135.76/8,144.83
  6. Step 6: Final answer
    x = 6,359.14

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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.