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Finding the Fourth Proportional to 11,604.39, 16,014.85 and 6,568.60

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Solution

The fourth proportional to 11,604.39, 16,014.85 and 6,568.60 is: 9,065.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604.39 : 16,014.85 = 6,568.60 : x
  2. Step 2: Convert to fraction form
    11,604.39/16,014.85 = 6,568.60/x
  3. Step 3: Cross multiply
    11,604.39x = 16,014.85 × 6,568.60
  4. Step 4: Simplify right side
    11,604.39x = 105,195,063.64
  5. Step 5: Solve for x
    x = 105,195,063.64/11,604.39
  6. Step 6: Final answer
    x = 9,065.11

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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.