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Finding the Fourth Proportional to 11,656.23, 16,085.78 and 6,351.04

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Solution

The fourth proportional to 11,656.23, 16,085.78 and 6,351.04 is: 8,764.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656.23 : 16,085.78 = 6,351.04 : x
  2. Step 2: Convert to fraction form
    11,656.23/16,085.78 = 6,351.04/x
  3. Step 3: Cross multiply
    11,656.23x = 16,085.78 × 6,351.04
  4. Step 4: Simplify right side
    11,656.23x = 102,161,432.21
  5. Step 5: Solve for x
    x = 102,161,432.21/11,656.23
  6. Step 6: Final answer
    x = 8,764.53

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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.