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Finding the Fourth Proportional to 7,601.77, 11,406.57 and 5,752.27

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Solution

The fourth proportional to 7,601.77, 11,406.57 and 5,752.27 is: 8,631.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,601.77 : 11,406.57 = 5,752.27 : x
  2. Step 2: Convert to fraction form
    7,601.77/11,406.57 = 5,752.27/x
  3. Step 3: Cross multiply
    7,601.77x = 11,406.57 × 5,752.27
  4. Step 4: Simplify right side
    7,601.77x = 65,613,670.41
  5. Step 5: Solve for x
    x = 65,613,670.41/7,601.77
  6. Step 6: Final answer
    x = 8,631.37

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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.