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Finding the Fourth Proportional to 11,838.48, 16,337.13 and 6,533.44

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Solution

The fourth proportional to 11,838.48, 16,337.13 and 6,533.44 is: 9,016.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,838.48 : 16,337.13 = 6,533.44 : x
  2. Step 2: Convert to fraction form
    11,838.48/16,337.13 = 6,533.44/x
  3. Step 3: Cross multiply
    11,838.48x = 16,337.13 × 6,533.44
  4. Step 4: Simplify right side
    11,838.48x = 106,737,658.63
  5. Step 5: Solve for x
    x = 106,737,658.63/11,838.48
  6. Step 6: Final answer
    x = 9,016.16

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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.