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Finding the Fourth Proportional to 7,262.71, 10,022.57 and 4,118.88

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Solution

The fourth proportional to 7,262.71, 10,022.57 and 4,118.88 is: 5,684.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,262.71 : 10,022.57 = 4,118.88 : x
  2. Step 2: Convert to fraction form
    7,262.71/10,022.57 = 4,118.88/x
  3. Step 3: Cross multiply
    7,262.71x = 10,022.57 × 4,118.88
  4. Step 4: Simplify right side
    7,262.71x = 41,281,692.41
  5. Step 5: Solve for x
    x = 41,281,692.41/7,262.71
  6. Step 6: Final answer
    x = 5,684.06

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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.