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Finding the Fourth Proportional to 5,500.14, 8,193.90 and 5,235.66

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Solution

The fourth proportional to 5,500.14, 8,193.90 and 5,235.66 is: 7,799.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,500.14 : 8,193.90 = 5,235.66 : x
  2. Step 2: Convert to fraction form
    5,500.14/8,193.90 = 5,235.66/x
  3. Step 3: Cross multiply
    5,500.14x = 8,193.90 × 5,235.66
  4. Step 4: Simplify right side
    5,500.14x = 42,900,474.47
  5. Step 5: Solve for x
    x = 42,900,474.47/5,500.14
  6. Step 6: Final answer
    x = 7,799.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.