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Finding the Fourth Proportional to 11,341.52, 17,008.08 and 3,944

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Solution

The fourth proportional to 11,341.52, 17,008.08 and 3,944 is: 5,914.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,341.52 : 17,008.08 = 3,944 : x
  2. Step 2: Convert to fraction form
    11,341.52/17,008.08 = 3,944/x
  3. Step 3: Cross multiply
    11,341.52x = 17,008.08 × 3,944
  4. Step 4: Simplify right side
    11,341.52x = 67,079,867.52
  5. Step 5: Solve for x
    x = 67,079,867.52/11,341.52
  6. Step 6: Final answer
    x = 5,914.54

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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.