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Finding the Fourth Proportional to 11,838.72, 16,337.49 and 6,533.69

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Solution

The fourth proportional to 11,838.72, 16,337.49 and 6,533.69 is: 9,016.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,838.72 : 16,337.49 = 6,533.69 : x
  2. Step 2: Convert to fraction form
    11,838.72/16,337.49 = 6,533.69/x
  3. Step 3: Cross multiply
    11,838.72x = 16,337.49 × 6,533.69
  4. Step 4: Simplify right side
    11,838.72x = 106,744,095.04
  5. Step 5: Solve for x
    x = 106,744,095.04/11,838.72
  6. Step 6: Final answer
    x = 9,016.52

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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.