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Finding the Fourth Proportional to 7,747.50, 11,663.41 and 7,058.60

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Solution

The fourth proportional to 7,747.50, 11,663.41 and 7,058.60 is: 10,626.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,747.50 : 11,663.41 = 7,058.60 : x
  2. Step 2: Convert to fraction form
    7,747.50/11,663.41 = 7,058.60/x
  3. Step 3: Cross multiply
    7,747.50x = 11,663.41 × 7,058.60
  4. Step 4: Simplify right side
    7,747.50x = 82,327,269.86
  5. Step 5: Solve for x
    x = 82,327,269.86/7,747.50
  6. Step 6: Final answer
    x = 10,626.30

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.