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Finding the Fourth Proportional to 7,581.72, 10,462.14 and 4,224.36

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Solution

The fourth proportional to 7,581.72, 10,462.14 and 4,224.36 is: 5,829.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,581.72 : 10,462.14 = 4,224.36 : x
  2. Step 2: Convert to fraction form
    7,581.72/10,462.14 = 4,224.36/x
  3. Step 3: Cross multiply
    7,581.72x = 10,462.14 × 4,224.36
  4. Step 4: Simplify right side
    7,581.72x = 44,195,845.73
  5. Step 5: Solve for x
    x = 44,195,845.73/7,581.72
  6. Step 6: Final answer
    x = 5,829.26

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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.