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Finding the Fourth Proportional to 11,442.64, 17,163.90 and 7,518.64

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Solution

The fourth proportional to 11,442.64, 17,163.90 and 7,518.64 is: 11,277.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,442.64 : 17,163.90 = 7,518.64 : x
  2. Step 2: Convert to fraction form
    11,442.64/17,163.90 = 7,518.64/x
  3. Step 3: Cross multiply
    11,442.64x = 17,163.90 × 7,518.64
  4. Step 4: Simplify right side
    11,442.64x = 129,049,185.10
  5. Step 5: Solve for x
    x = 129,049,185.10/11,442.64
  6. Step 6: Final answer
    x = 11,277.92

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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.