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Finding the Fourth Proportional to 11,614.72, 16,028.62 and 6,578.87

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Solution

The fourth proportional to 11,614.72, 16,028.62 and 6,578.87 is: 9,079.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.72 : 16,028.62 = 6,578.87 : x
  2. Step 2: Convert to fraction form
    11,614.72/16,028.62 = 6,578.87/x
  3. Step 3: Cross multiply
    11,614.72x = 16,028.62 × 6,578.87
  4. Step 4: Simplify right side
    11,614.72x = 105,450,207.26
  5. Step 5: Solve for x
    x = 105,450,207.26/11,614.72
  6. Step 6: Final answer
    x = 9,079.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.