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Finding the Fourth Proportional to 7,443, 11,169.77 and 3,547.71

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Solution

The fourth proportional to 7,443, 11,169.77 and 3,547.71 is: 5,324.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,443 : 11,169.77 = 3,547.71 : x
  2. Step 2: Convert to fraction form
    7,443/11,169.77 = 3,547.71/x
  3. Step 3: Cross multiply
    7,443x = 11,169.77 × 3,547.71
  4. Step 4: Simplify right side
    7,443x = 39,627,086.99
  5. Step 5: Solve for x
    x = 39,627,086.99/7,443
  6. Step 6: Final answer
    x = 5,324.07

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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.