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Finding the Fourth Proportional to 11,563.15, 17,316.76 and 6,617.80

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Solution

The fourth proportional to 11,563.15, 17,316.76 and 6,617.80 is: 9,910.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.15 : 17,316.76 = 6,617.80 : x
  2. Step 2: Convert to fraction form
    11,563.15/17,316.76 = 6,617.80/x
  3. Step 3: Cross multiply
    11,563.15x = 17,316.76 × 6,617.80
  4. Step 4: Simplify right side
    11,563.15x = 114,598,854.33
  5. Step 5: Solve for x
    x = 114,598,854.33/11,563.15
  6. Step 6: Final answer
    x = 9,910.70

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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.