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Finding the Fourth Proportional to 8,299.74, 11,453.43 and 4,573.50

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Solution

The fourth proportional to 8,299.74, 11,453.43 and 4,573.50 is: 6,311.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,299.74 : 11,453.43 = 4,573.50 : x
  2. Step 2: Convert to fraction form
    8,299.74/11,453.43 = 4,573.50/x
  3. Step 3: Cross multiply
    8,299.74x = 11,453.43 × 4,573.50
  4. Step 4: Simplify right side
    8,299.74x = 52,382,262.11
  5. Step 5: Solve for x
    x = 52,382,262.11/8,299.74
  6. Step 6: Final answer
    x = 6,311.31

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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.