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Finding the Fourth Proportional to 8,481.51, 11,702.07 and 5,078.09

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Solution

The fourth proportional to 8,481.51, 11,702.07 and 5,078.09 is: 7,006.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,481.51 : 11,702.07 = 5,078.09 : x
  2. Step 2: Convert to fraction form
    8,481.51/11,702.07 = 5,078.09/x
  3. Step 3: Cross multiply
    8,481.51x = 11,702.07 × 5,078.09
  4. Step 4: Simplify right side
    8,481.51x = 59,424,193.90
  5. Step 5: Solve for x
    x = 59,424,193.90/8,481.51
  6. Step 6: Final answer
    x = 7,006.32

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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.