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Finding the Fourth Proportional to 11,813.66, 17,718.04 and 5,235.65

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Solution

The fourth proportional to 11,813.66, 17,718.04 and 5,235.65 is: 7,852.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,813.66 : 17,718.04 = 5,235.65 : x
  2. Step 2: Convert to fraction form
    11,813.66/17,718.04 = 5,235.65/x
  3. Step 3: Cross multiply
    11,813.66x = 17,718.04 × 5,235.65
  4. Step 4: Simplify right side
    11,813.66x = 92,765,456.13
  5. Step 5: Solve for x
    x = 92,765,456.13/11,813.66
  6. Step 6: Final answer
    x = 7,852.39

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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.