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Finding the Fourth Proportional to 10,011.22, 13,815.05 and 5,473.82

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Solution

The fourth proportional to 10,011.22, 13,815.05 and 5,473.82 is: 7,553.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,011.22 : 13,815.05 = 5,473.82 : x
  2. Step 2: Convert to fraction form
    10,011.22/13,815.05 = 5,473.82/x
  3. Step 3: Cross multiply
    10,011.22x = 13,815.05 × 5,473.82
  4. Step 4: Simplify right side
    10,011.22x = 75,621,027.92
  5. Step 5: Solve for x
    x = 75,621,027.92/10,011.22
  6. Step 6: Final answer
    x = 7,553.63

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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.