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Finding the Fourth Proportional to 11,412.85, 17,107.62 and 7,715.44

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Solution

The fourth proportional to 11,412.85, 17,107.62 and 7,715.44 is: 11,565.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,412.85 : 17,107.62 = 7,715.44 : x
  2. Step 2: Convert to fraction form
    11,412.85/17,107.62 = 7,715.44/x
  3. Step 3: Cross multiply
    11,412.85x = 17,107.62 × 7,715.44
  4. Step 4: Simplify right side
    11,412.85x = 131,992,815.65
  5. Step 5: Solve for x
    x = 131,992,815.65/11,412.85
  6. Step 6: Final answer
    x = 11,565.28

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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.