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Finding the Fourth Proportional to 11,467.24, 15,830.04 and 8,347.12

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Solution

The fourth proportional to 11,467.24, 15,830.04 and 8,347.12 is: 11,522.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,467.24 : 15,830.04 = 8,347.12 : x
  2. Step 2: Convert to fraction form
    11,467.24/15,830.04 = 8,347.12/x
  3. Step 3: Cross multiply
    11,467.24x = 15,830.04 × 8,347.12
  4. Step 4: Simplify right side
    11,467.24x = 132,135,243.48
  5. Step 5: Solve for x
    x = 132,135,243.48/11,467.24
  6. Step 6: Final answer
    x = 11,522.85

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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.