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Finding the Fourth Proportional to 7,674.30, 10,592.24 and 5,020.20

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Solution

The fourth proportional to 7,674.30, 10,592.24 and 5,020.20 is: 6,928.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.30 : 10,592.24 = 5,020.20 : x
  2. Step 2: Convert to fraction form
    7,674.30/10,592.24 = 5,020.20/x
  3. Step 3: Cross multiply
    7,674.30x = 10,592.24 × 5,020.20
  4. Step 4: Simplify right side
    7,674.30x = 53,175,138.15
  5. Step 5: Solve for x
    x = 53,175,138.15/7,674.30
  6. Step 6: Final answer
    x = 6,928.99

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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.