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Finding the Fourth Proportional to 7,446.42, 11,167.26 and 2,447.64

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Solution

The fourth proportional to 7,446.42, 11,167.26 and 2,447.64 is: 3,670.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446.42 : 11,167.26 = 2,447.64 : x
  2. Step 2: Convert to fraction form
    7,446.42/11,167.26 = 2,447.64/x
  3. Step 3: Cross multiply
    7,446.42x = 11,167.26 × 2,447.64
  4. Step 4: Simplify right side
    7,446.42x = 27,333,421.15
  5. Step 5: Solve for x
    x = 27,333,421.15/7,446.42
  6. Step 6: Final answer
    x = 3,670.68

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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.