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Finding the Fourth Proportional to 11,146.39, 16,725.10 and 5,223.70

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Solution

The fourth proportional to 11,146.39, 16,725.10 and 5,223.70 is: 7,838.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,146.39 : 16,725.10 = 5,223.70 : x
  2. Step 2: Convert to fraction form
    11,146.39/16,725.10 = 5,223.70/x
  3. Step 3: Cross multiply
    11,146.39x = 16,725.10 × 5,223.70
  4. Step 4: Simplify right side
    11,146.39x = 87,366,904.87
  5. Step 5: Solve for x
    x = 87,366,904.87/11,146.39
  6. Step 6: Final answer
    x = 7,838.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.