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Finding the Fourth Proportional to 11,471.64, 17,207.63 and 4,452.05

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Solution

The fourth proportional to 11,471.64, 17,207.63 and 4,452.05 is: 6,678.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.64 : 17,207.63 = 4,452.05 : x
  2. Step 2: Convert to fraction form
    11,471.64/17,207.63 = 4,452.05/x
  3. Step 3: Cross multiply
    11,471.64x = 17,207.63 × 4,452.05
  4. Step 4: Simplify right side
    11,471.64x = 76,609,120.84
  5. Step 5: Solve for x
    x = 76,609,120.84/11,471.64
  6. Step 6: Final answer
    x = 6,678.13

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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.