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Finding the Fourth Proportional to 11,613.75, 16,027.27 and 6,308.57

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Solution

The fourth proportional to 11,613.75, 16,027.27 and 6,308.57 is: 8,705.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,613.75 : 16,027.27 = 6,308.57 : x
  2. Step 2: Convert to fraction form
    11,613.75/16,027.27 = 6,308.57/x
  3. Step 3: Cross multiply
    11,613.75x = 16,027.27 × 6,308.57
  4. Step 4: Simplify right side
    11,613.75x = 101,109,058.80
  5. Step 5: Solve for x
    x = 101,109,058.80/11,613.75
  6. Step 6: Final answer
    x = 8,705.98

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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.