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Finding the Fourth Proportional to 11,506.74, 17,222.99 and 5,952.44

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Solution

The fourth proportional to 11,506.74, 17,222.99 and 5,952.44 is: 8,909.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,506.74 : 17,222.99 = 5,952.44 : x
  2. Step 2: Convert to fraction form
    11,506.74/17,222.99 = 5,952.44/x
  3. Step 3: Cross multiply
    11,506.74x = 17,222.99 × 5,952.44
  4. Step 4: Simplify right side
    11,506.74x = 102,518,698.72
  5. Step 5: Solve for x
    x = 102,518,698.72/11,506.74
  6. Step 6: Final answer
    x = 8,909.45

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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.