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Finding the Fourth Proportional to 11,674.31, 16,110.06 and 6,368.81

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Solution

The fourth proportional to 11,674.31, 16,110.06 and 6,368.81 is: 8,788.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,674.31 : 16,110.06 = 6,368.81 : x
  2. Step 2: Convert to fraction form
    11,674.31/16,110.06 = 6,368.81/x
  3. Step 3: Cross multiply
    11,674.31x = 16,110.06 × 6,368.81
  4. Step 4: Simplify right side
    11,674.31x = 102,601,911.23
  5. Step 5: Solve for x
    x = 102,601,911.23/11,674.31
  6. Step 6: Final answer
    x = 8,788.69

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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.