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Finding the Fourth Proportional to 11,347.92, 17,022.33 and 3,953.13

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Solution

The fourth proportional to 11,347.92, 17,022.33 and 3,953.13 is: 5,929.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,347.92 : 17,022.33 = 3,953.13 : x
  2. Step 2: Convert to fraction form
    11,347.92/17,022.33 = 3,953.13/x
  3. Step 3: Cross multiply
    11,347.92x = 17,022.33 × 3,953.13
  4. Step 4: Simplify right side
    11,347.92x = 67,291,434.38
  5. Step 5: Solve for x
    x = 67,291,434.38/11,347.92
  6. Step 6: Final answer
    x = 5,929.85

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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.