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Finding the Fourth Proportional to 11,640.51, 17,456.58 and 5,065.11

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Solution

The fourth proportional to 11,640.51, 17,456.58 and 5,065.11 is: 7,595.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640.51 : 17,456.58 = 5,065.11 : x
  2. Step 2: Convert to fraction form
    11,640.51/17,456.58 = 5,065.11/x
  3. Step 3: Cross multiply
    11,640.51x = 17,456.58 × 5,065.11
  4. Step 4: Simplify right side
    11,640.51x = 88,419,497.92
  5. Step 5: Solve for x
    x = 88,419,497.92/11,640.51
  6. Step 6: Final answer
    x = 7,595.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.