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Finding the Fourth Proportional to 10,009.92, 13,813.26 and 5,533.44

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Solution

The fourth proportional to 10,009.92, 13,813.26 and 5,533.44 is: 7,635.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,009.92 : 13,813.26 = 5,533.44 : x
  2. Step 2: Convert to fraction form
    10,009.92/13,813.26 = 5,533.44/x
  3. Step 3: Cross multiply
    10,009.92x = 13,813.26 × 5,533.44
  4. Step 4: Simplify right side
    10,009.92x = 76,434,845.41
  5. Step 5: Solve for x
    x = 76,434,845.41/10,009.92
  6. Step 6: Final answer
    x = 7,635.91

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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.