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Finding the Fourth Proportional to 7,472.25, 11,193.49 and 3,762.86

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Solution

The fourth proportional to 7,472.25, 11,193.49 and 3,762.86 is: 5,636.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,472.25 : 11,193.49 = 3,762.86 : x
  2. Step 2: Convert to fraction form
    7,472.25/11,193.49 = 3,762.86/x
  3. Step 3: Cross multiply
    7,472.25x = 11,193.49 × 3,762.86
  4. Step 4: Simplify right side
    7,472.25x = 42,119,484.52
  5. Step 5: Solve for x
    x = 42,119,484.52/7,472.25
  6. Step 6: Final answer
    x = 5,636.79

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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.