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Finding the Fourth Proportional to 11,578.10, 17,352.91 and 6,584.66

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Solution

The fourth proportional to 11,578.10, 17,352.91 and 6,584.66 is: 9,868.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.10 : 17,352.91 = 6,584.66 : x
  2. Step 2: Convert to fraction form
    11,578.10/17,352.91 = 6,584.66/x
  3. Step 3: Cross multiply
    11,578.10x = 17,352.91 × 6,584.66
  4. Step 4: Simplify right side
    11,578.10x = 114,262,909.13
  5. Step 5: Solve for x
    x = 114,262,909.13/11,578.10
  6. Step 6: Final answer
    x = 9,868.89

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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.