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Finding the Fourth Proportional to 7,130.94, 10,680.57 and 5,475.30

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Solution

The fourth proportional to 7,130.94, 10,680.57 and 5,475.30 is: 8,200.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.94 : 10,680.57 = 5,475.30 : x
  2. Step 2: Convert to fraction form
    7,130.94/10,680.57 = 5,475.30/x
  3. Step 3: Cross multiply
    7,130.94x = 10,680.57 × 5,475.30
  4. Step 4: Simplify right side
    7,130.94x = 58,479,324.92
  5. Step 5: Solve for x
    x = 58,479,324.92/7,130.94
  6. Step 6: Final answer
    x = 8,200.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.