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Finding the Fourth Proportional to 7,442.54, 11,163.81 and 3,535.10

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Solution

The fourth proportional to 7,442.54, 11,163.81 and 3,535.10 is: 5,302.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442.54 : 11,163.81 = 3,535.10 : x
  2. Step 2: Convert to fraction form
    7,442.54/11,163.81 = 3,535.10/x
  3. Step 3: Cross multiply
    7,442.54x = 11,163.81 × 3,535.10
  4. Step 4: Simplify right side
    7,442.54x = 39,465,184.73
  5. Step 5: Solve for x
    x = 39,465,184.73/7,442.54
  6. Step 6: Final answer
    x = 5,302.65

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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.