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Finding the Fourth Proportional to 7,658.20, 10,568.84 and 4,471.28

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Solution

The fourth proportional to 7,658.20, 10,568.84 and 4,471.28 is: 6,170.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.20 : 10,568.84 = 4,471.28 : x
  2. Step 2: Convert to fraction form
    7,658.20/10,568.84 = 4,471.28/x
  3. Step 3: Cross multiply
    7,658.20x = 10,568.84 × 4,471.28
  4. Step 4: Simplify right side
    7,658.20x = 47,256,242.92
  5. Step 5: Solve for x
    x = 47,256,242.92/7,658.20
  6. Step 6: Final answer
    x = 6,170.67

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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.