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Finding the Fourth Proportional to 8,140.71, 11,234.24 and 4,738.57

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Solution

The fourth proportional to 8,140.71, 11,234.24 and 4,738.57 is: 6,539.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.71 : 11,234.24 = 4,738.57 : x
  2. Step 2: Convert to fraction form
    8,140.71/11,234.24 = 4,738.57/x
  3. Step 3: Cross multiply
    8,140.71x = 11,234.24 × 4,738.57
  4. Step 4: Simplify right side
    8,140.71x = 53,234,232.64
  5. Step 5: Solve for x
    x = 53,234,232.64/8,140.71
  6. Step 6: Final answer
    x = 6,539.26

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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.