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Finding the Fourth Proportional to 6,145.20, 8,433.18 and 5,756.40

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Solution

The fourth proportional to 6,145.20, 8,433.18 and 5,756.40 is: 7,899.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,145.20 : 8,433.18 = 5,756.40 : x
  2. Step 2: Convert to fraction form
    6,145.20/8,433.18 = 5,756.40/x
  3. Step 3: Cross multiply
    6,145.20x = 8,433.18 × 5,756.40
  4. Step 4: Simplify right side
    6,145.20x = 48,544,757.35
  5. Step 5: Solve for x
    x = 48,544,757.35/6,145.20
  6. Step 6: Final answer
    x = 7,899.62

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.