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Finding the Fourth Proportional to 8,203.24, 11,329.86 and 7,493.32

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Solution

The fourth proportional to 8,203.24, 11,329.86 and 7,493.32 is: 10,349.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.24 : 11,329.86 = 7,493.32 : x
  2. Step 2: Convert to fraction form
    8,203.24/11,329.86 = 7,493.32/x
  3. Step 3: Cross multiply
    8,203.24x = 11,329.86 × 7,493.32
  4. Step 4: Simplify right side
    8,203.24x = 84,898,266.54
  5. Step 5: Solve for x
    x = 84,898,266.54/8,203.24
  6. Step 6: Final answer
    x = 10,349.36

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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.