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Finding the Fourth Proportional to 11,640.62, 16,052.87 and 7,820.91

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Solution

The fourth proportional to 11,640.62, 16,052.87 and 7,820.91 is: 10,785.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640.62 : 16,052.87 = 7,820.91 : x
  2. Step 2: Convert to fraction form
    11,640.62/16,052.87 = 7,820.91/x
  3. Step 3: Cross multiply
    11,640.62x = 16,052.87 × 7,820.91
  4. Step 4: Simplify right side
    11,640.62x = 125,548,012.41
  5. Step 5: Solve for x
    x = 125,548,012.41/11,640.62
  6. Step 6: Final answer
    x = 10,785.34

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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.