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Finding the Fourth Proportional to 11,838.92, 16,337.00 and 6,533.72

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Solution

The fourth proportional to 11,838.92, 16,337.00 and 6,533.72 is: 9,016.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,838.92 : 16,337.00 = 6,533.72 : x
  2. Step 2: Convert to fraction form
    11,838.92/16,337.00 = 6,533.72/x
  3. Step 3: Cross multiply
    11,838.92x = 16,337.00 × 6,533.72
  4. Step 4: Simplify right side
    11,838.92x = 106,741,269.29
  5. Step 5: Solve for x
    x = 106,741,269.29/11,838.92
  6. Step 6: Final answer
    x = 9,016.14

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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.