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Finding the Fourth Proportional to 10,383.30, 15,542.55 and 7,467.30

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Solution

The fourth proportional to 10,383.30, 15,542.55 and 7,467.30 is: 11,177.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,383.30 : 15,542.55 = 7,467.30 : x
  2. Step 2: Convert to fraction form
    10,383.30/15,542.55 = 7,467.30/x
  3. Step 3: Cross multiply
    10,383.30x = 15,542.55 × 7,467.30
  4. Step 4: Simplify right side
    10,383.30x = 116,060,883.62
  5. Step 5: Solve for x
    x = 116,060,883.62/10,383.30
  6. Step 6: Final answer
    x = 11,177.65

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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.