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Finding the Fourth Proportional to 11,647.59, 16,073.71 and 6,342.44

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Solution

The fourth proportional to 11,647.59, 16,073.71 and 6,342.44 is: 8,752.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.59 : 16,073.71 = 6,342.44 : x
  2. Step 2: Convert to fraction form
    11,647.59/16,073.71 = 6,342.44/x
  3. Step 3: Cross multiply
    11,647.59x = 16,073.71 × 6,342.44
  4. Step 4: Simplify right side
    11,647.59x = 101,946,541.25
  5. Step 5: Solve for x
    x = 101,946,541.25/11,647.59
  6. Step 6: Final answer
    x = 8,752.59

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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.