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Finding the Fourth Proportional to 11,655.97, 16,085.72 and 6,351.07

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Solution

The fourth proportional to 11,655.97, 16,085.72 and 6,351.07 is: 8,764.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,655.97 : 16,085.72 = 6,351.07 : x
  2. Step 2: Convert to fraction form
    11,655.97/16,085.72 = 6,351.07/x
  3. Step 3: Cross multiply
    11,655.97x = 16,085.72 × 6,351.07
  4. Step 4: Simplify right side
    11,655.97x = 102,161,501.97
  5. Step 5: Solve for x
    x = 102,161,501.97/11,655.97
  6. Step 6: Final answer
    x = 8,764.74

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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.