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Finding the Fourth Proportional to 11,552.65, 17,316.91 and 8,382.43

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Solution

The fourth proportional to 11,552.65, 17,316.91 and 8,382.43 is: 12,564.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,552.65 : 17,316.91 = 8,382.43 : x
  2. Step 2: Convert to fraction form
    11,552.65/17,316.91 = 8,382.43/x
  3. Step 3: Cross multiply
    11,552.65x = 17,316.91 × 8,382.43
  4. Step 4: Simplify right side
    11,552.65x = 145,157,785.89
  5. Step 5: Solve for x
    x = 145,157,785.89/11,552.65
  6. Step 6: Final answer
    x = 12,564.89

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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.