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Finding the Fourth Proportional to 8,047.32, 11,103.21 and 4,858.09

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Solution

The fourth proportional to 8,047.32, 11,103.21 and 4,858.09 is: 6,702.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047.32 : 11,103.21 = 4,858.09 : x
  2. Step 2: Convert to fraction form
    8,047.32/11,103.21 = 4,858.09/x
  3. Step 3: Cross multiply
    8,047.32x = 11,103.21 × 4,858.09
  4. Step 4: Simplify right side
    8,047.32x = 53,940,393.47
  5. Step 5: Solve for x
    x = 53,940,393.47/8,047.32
  6. Step 6: Final answer
    x = 6,702.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.