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Finding the Fourth Proportional to 11,857.52, 17,785.64 and 6,013.98

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Solution

The fourth proportional to 11,857.52, 17,785.64 and 6,013.98 is: 9,020.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.52 : 17,785.64 = 6,013.98 : x
  2. Step 2: Convert to fraction form
    11,857.52/17,785.64 = 6,013.98/x
  3. Step 3: Cross multiply
    11,857.52x = 17,785.64 × 6,013.98
  4. Step 4: Simplify right side
    11,857.52x = 106,962,498.28
  5. Step 5: Solve for x
    x = 106,962,498.28/11,857.52
  6. Step 6: Final answer
    x = 9,020.64

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Why These Related Problems?

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