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Finding the Fourth Proportional to 11,647.59, 16,068.30 and 6,864.27

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Solution

The fourth proportional to 11,647.59, 16,068.30 and 6,864.27 is: 9,469.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.59 : 16,068.30 = 6,864.27 : x
  2. Step 2: Convert to fraction form
    11,647.59/16,068.30 = 6,864.27/x
  3. Step 3: Cross multiply
    11,647.59x = 16,068.30 × 6,864.27
  4. Step 4: Simplify right side
    11,647.59x = 110,297,149.64
  5. Step 5: Solve for x
    x = 110,297,149.64/11,647.59
  6. Step 6: Final answer
    x = 9,469.53

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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.