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Finding the Fourth Proportional to 11,404.08, 15,728.04 and 7,422.12

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Solution

The fourth proportional to 11,404.08, 15,728.04 and 7,422.12 is: 10,236.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,404.08 : 15,728.04 = 7,422.12 : x
  2. Step 2: Convert to fraction form
    11,404.08/15,728.04 = 7,422.12/x
  3. Step 3: Cross multiply
    11,404.08x = 15,728.04 × 7,422.12
  4. Step 4: Simplify right side
    11,404.08x = 116,735,400.24
  5. Step 5: Solve for x
    x = 116,735,400.24/11,404.08
  6. Step 6: Final answer
    x = 10,236.28

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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.