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Finding the Fourth Proportional to 7,442.10, 11,163.23 and 1,895.46

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Solution

The fourth proportional to 7,442.10, 11,163.23 and 1,895.46 is: 2,843.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442.10 : 11,163.23 = 1,895.46 : x
  2. Step 2: Convert to fraction form
    7,442.10/11,163.23 = 1,895.46/x
  3. Step 3: Cross multiply
    7,442.10x = 11,163.23 × 1,895.46
  4. Step 4: Simplify right side
    7,442.10x = 21,159,446.46
  5. Step 5: Solve for x
    x = 21,159,446.46/7,442.10
  6. Step 6: Final answer
    x = 2,843.21

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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.