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Finding the Fourth Proportional to 8,663.85, 11,956.23 and 5,305.43

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Solution

The fourth proportional to 8,663.85, 11,956.23 and 5,305.43 is: 7,321.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,663.85 : 11,956.23 = 5,305.43 : x
  2. Step 2: Convert to fraction form
    8,663.85/11,956.23 = 5,305.43/x
  3. Step 3: Cross multiply
    8,663.85x = 11,956.23 × 5,305.43
  4. Step 4: Simplify right side
    8,663.85x = 63,432,971.22
  5. Step 5: Solve for x
    x = 63,432,971.22/8,663.85
  6. Step 6: Final answer
    x = 7,321.57

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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.