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Finding the Fourth Proportional to 11,604.53, 16,014.60 and 6,568.65

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Solution

The fourth proportional to 11,604.53, 16,014.60 and 6,568.65 is: 9,064.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604.53 : 16,014.60 = 6,568.65 : x
  2. Step 2: Convert to fraction form
    11,604.53/16,014.60 = 6,568.65/x
  3. Step 3: Cross multiply
    11,604.53x = 16,014.60 × 6,568.65
  4. Step 4: Simplify right side
    11,604.53x = 105,194,302.29
  5. Step 5: Solve for x
    x = 105,194,302.29/11,604.53
  6. Step 6: Final answer
    x = 9,064.94

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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.