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Finding the Fourth Proportional to 11,641.76, 16,065.20 and 6,336.45

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Solution

The fourth proportional to 11,641.76, 16,065.20 and 6,336.45 is: 8,744.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641.76 : 16,065.20 = 6,336.45 : x
  2. Step 2: Convert to fraction form
    11,641.76/16,065.20 = 6,336.45/x
  3. Step 3: Cross multiply
    11,641.76x = 16,065.20 × 6,336.45
  4. Step 4: Simplify right side
    11,641.76x = 101,796,304.86
  5. Step 5: Solve for x
    x = 101,796,304.86/11,641.76
  6. Step 6: Final answer
    x = 8,744.07

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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.