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Finding the Fourth Proportional to 8,702.08, 13,052.10 and 2,857.25

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Solution

The fourth proportional to 8,702.08, 13,052.10 and 2,857.25 is: 4,285.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.08 : 13,052.10 = 2,857.25 : x
  2. Step 2: Convert to fraction form
    8,702.08/13,052.10 = 2,857.25/x
  3. Step 3: Cross multiply
    8,702.08x = 13,052.10 × 2,857.25
  4. Step 4: Simplify right side
    8,702.08x = 37,293,112.73
  5. Step 5: Solve for x
    x = 37,293,112.73/8,702.08
  6. Step 6: Final answer
    x = 4,285.54

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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.