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Finding the Fourth Proportional to 7,997.39, 11,037.26 and 4,461.83

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Solution

The fourth proportional to 7,997.39, 11,037.26 and 4,461.83 is: 6,157.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.39 : 11,037.26 = 4,461.83 : x
  2. Step 2: Convert to fraction form
    7,997.39/11,037.26 = 4,461.83/x
  3. Step 3: Cross multiply
    7,997.39x = 11,037.26 × 4,461.83
  4. Step 4: Simplify right side
    7,997.39x = 49,246,355.48
  5. Step 5: Solve for x
    x = 49,246,355.48/7,997.39
  6. Step 6: Final answer
    x = 6,157.80

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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.