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Finding the Fourth Proportional to 8,194.70, 11,299.74 and 5,537.50

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Solution

The fourth proportional to 8,194.70, 11,299.74 and 5,537.50 is: 7,635.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.70 : 11,299.74 = 5,537.50 : x
  2. Step 2: Convert to fraction form
    8,194.70/11,299.74 = 5,537.50/x
  3. Step 3: Cross multiply
    8,194.70x = 11,299.74 × 5,537.50
  4. Step 4: Simplify right side
    8,194.70x = 62,572,310.25
  5. Step 5: Solve for x
    x = 62,572,310.25/8,194.70
  6. Step 6: Final answer
    x = 7,635.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.