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Finding the Fourth Proportional to 11,789.72, 16,269.72 and 6,753.77

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Solution

The fourth proportional to 11,789.72, 16,269.72 and 6,753.77 is: 9,320.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,789.72 : 16,269.72 = 6,753.77 : x
  2. Step 2: Convert to fraction form
    11,789.72/16,269.72 = 6,753.77/x
  3. Step 3: Cross multiply
    11,789.72x = 16,269.72 × 6,753.77
  4. Step 4: Simplify right side
    11,789.72x = 109,881,946.84
  5. Step 5: Solve for x
    x = 109,881,946.84/11,789.72
  6. Step 6: Final answer
    x = 9,320.15

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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.