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Finding the Fourth Proportional to 6,865.30, 10,288.68 and 5,007.70

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Solution

The fourth proportional to 6,865.30, 10,288.68 and 5,007.70 is: 7,504.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,865.30 : 10,288.68 = 5,007.70 : x
  2. Step 2: Convert to fraction form
    6,865.30/10,288.68 = 5,007.70/x
  3. Step 3: Cross multiply
    6,865.30x = 10,288.68 × 5,007.70
  4. Step 4: Simplify right side
    6,865.30x = 51,522,622.84
  5. Step 5: Solve for x
    x = 51,522,622.84/6,865.30
  6. Step 6: Final answer
    x = 7,504.79

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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.