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Finding the Fourth Proportional to 11,174.81, 16,767.98 and 7,429.19

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Solution

The fourth proportional to 11,174.81, 16,767.98 and 7,429.19 is: 11,147.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,174.81 : 16,767.98 = 7,429.19 : x
  2. Step 2: Convert to fraction form
    11,174.81/16,767.98 = 7,429.19/x
  3. Step 3: Cross multiply
    11,174.81x = 16,767.98 × 7,429.19
  4. Step 4: Simplify right side
    11,174.81x = 124,572,388.35
  5. Step 5: Solve for x
    x = 124,572,388.35/11,174.81
  6. Step 6: Final answer
    x = 11,147.61

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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.