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Finding the Fourth Proportional to 10,200.22, 15,267.93 and 5,513.56

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Solution

The fourth proportional to 10,200.22, 15,267.93 and 5,513.56 is: 8,252.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.22 : 15,267.93 = 5,513.56 : x
  2. Step 2: Convert to fraction form
    10,200.22/15,267.93 = 5,513.56/x
  3. Step 3: Cross multiply
    10,200.22x = 15,267.93 × 5,513.56
  4. Step 4: Simplify right side
    10,200.22x = 84,180,648.13
  5. Step 5: Solve for x
    x = 84,180,648.13/10,200.22
  6. Step 6: Final answer
    x = 8,252.83

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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.