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Finding the Fourth Proportional to 7,394.82, 10,205.00 and 4,037.77

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Solution

The fourth proportional to 7,394.82, 10,205.00 and 4,037.77 is: 5,572.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,394.82 : 10,205.00 = 4,037.77 : x
  2. Step 2: Convert to fraction form
    7,394.82/10,205.00 = 4,037.77/x
  3. Step 3: Cross multiply
    7,394.82x = 10,205.00 × 4,037.77
  4. Step 4: Simplify right side
    7,394.82x = 41,205,456.24
  5. Step 5: Solve for x
    x = 41,205,456.24/7,394.82
  6. Step 6: Final answer
    x = 5,572.20

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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.