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Finding the Fourth Proportional to 7,584.41, 10,466.50 and 4,227.90

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Solution

The fourth proportional to 7,584.41, 10,466.50 and 4,227.90 is: 5,834.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,584.41 : 10,466.50 = 4,227.90 : x
  2. Step 2: Convert to fraction form
    7,584.41/10,466.50 = 4,227.90/x
  3. Step 3: Cross multiply
    7,584.41x = 10,466.50 × 4,227.90
  4. Step 4: Simplify right side
    7,584.41x = 44,251,291.29
  5. Step 5: Solve for x
    x = 44,251,291.29/7,584.41
  6. Step 6: Final answer
    x = 5,834.51

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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.