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Finding the Fourth Proportional to 11,614.56, 16,028.15 and 6,834.68

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Solution

The fourth proportional to 11,614.56, 16,028.15 and 6,834.68 is: 9,431.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.56 : 16,028.15 = 6,834.68 : x
  2. Step 2: Convert to fraction form
    11,614.56/16,028.15 = 6,834.68/x
  3. Step 3: Cross multiply
    11,614.56x = 16,028.15 × 6,834.68
  4. Step 4: Simplify right side
    11,614.56x = 109,547,222.03
  5. Step 5: Solve for x
    x = 109,547,222.03/11,614.56
  6. Step 6: Final answer
    x = 9,431.89

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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.