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Finding the Fourth Proportional to 7,840.40, 10,820.32 and 5,183.20

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Solution

The fourth proportional to 7,840.40, 10,820.32 and 5,183.20 is: 7,153.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.40 : 10,820.32 = 5,183.20 : x
  2. Step 2: Convert to fraction form
    7,840.40/10,820.32 = 5,183.20/x
  3. Step 3: Cross multiply
    7,840.40x = 10,820.32 × 5,183.20
  4. Step 4: Simplify right side
    7,840.40x = 56,083,882.62
  5. Step 5: Solve for x
    x = 56,083,882.62/7,840.40
  6. Step 6: Final answer
    x = 7,153.19

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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.