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Finding the Fourth Proportional to 8,238.92, 11,370.64 and 4,702.73

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Solution

The fourth proportional to 8,238.92, 11,370.64 and 4,702.73 is: 6,490.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.92 : 11,370.64 = 4,702.73 : x
  2. Step 2: Convert to fraction form
    8,238.92/11,370.64 = 4,702.73/x
  3. Step 3: Cross multiply
    8,238.92x = 11,370.64 × 4,702.73
  4. Step 4: Simplify right side
    8,238.92x = 53,473,066.52
  5. Step 5: Solve for x
    x = 53,473,066.52/8,238.92
  6. Step 6: Final answer
    x = 6,490.30

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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.