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Finding the Fourth Proportional to 7,437.82, 11,147.61 and 4,474.42

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Solution

The fourth proportional to 7,437.82, 11,147.61 and 4,474.42 is: 6,706.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,437.82 : 11,147.61 = 4,474.42 : x
  2. Step 2: Convert to fraction form
    7,437.82/11,147.61 = 4,474.42/x
  3. Step 3: Cross multiply
    7,437.82x = 11,147.61 × 4,474.42
  4. Step 4: Simplify right side
    7,437.82x = 49,879,089.14
  5. Step 5: Solve for x
    x = 49,879,089.14/7,437.82
  6. Step 6: Final answer
    x = 6,706.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.