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Finding the Fourth Proportional to 11,641.50, 16,066.23 and 6,674.46

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Solution

The fourth proportional to 11,641.50, 16,066.23 and 6,674.46 is: 9,211.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641.50 : 16,066.23 = 6,674.46 : x
  2. Step 2: Convert to fraction form
    11,641.50/16,066.23 = 6,674.46/x
  3. Step 3: Cross multiply
    11,641.50x = 16,066.23 × 6,674.46
  4. Step 4: Simplify right side
    11,641.50x = 107,233,409.49
  5. Step 5: Solve for x
    x = 107,233,409.49/11,641.50
  6. Step 6: Final answer
    x = 9,211.31

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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.