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Finding the Fourth Proportional to 7,262.66, 10,022.91 and 4,077

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Solution

The fourth proportional to 7,262.66, 10,022.91 and 4,077 is: 5,626.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,262.66 : 10,022.91 = 4,077 : x
  2. Step 2: Convert to fraction form
    7,262.66/10,022.91 = 4,077/x
  3. Step 3: Cross multiply
    7,262.66x = 10,022.91 × 4,077
  4. Step 4: Simplify right side
    7,262.66x = 40,863,388.78
  5. Step 5: Solve for x
    x = 40,863,388.78/7,262.66
  6. Step 6: Final answer
    x = 5,626.50

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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.