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Finding the Fourth Proportional to 10,073.26, 13,899.50 and 5,822.74

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Solution

The fourth proportional to 10,073.26, 13,899.50 and 5,822.74 is: 8,034.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,073.26 : 13,899.50 = 5,822.74 : x
  2. Step 2: Convert to fraction form
    10,073.26/13,899.50 = 5,822.74/x
  3. Step 3: Cross multiply
    10,073.26x = 13,899.50 × 5,822.74
  4. Step 4: Simplify right side
    10,073.26x = 80,933,174.63
  5. Step 5: Solve for x
    x = 80,933,174.63/10,073.26
  6. Step 6: Final answer
    x = 8,034.46

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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.