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Finding the Fourth Proportional to 6,820.64, 10,240.07 and 6,599.20

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Solution

The fourth proportional to 6,820.64, 10,240.07 and 6,599.20 is: 9,907.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.64 : 10,240.07 = 6,599.20 : x
  2. Step 2: Convert to fraction form
    6,820.64/10,240.07 = 6,599.20/x
  3. Step 3: Cross multiply
    6,820.64x = 10,240.07 × 6,599.20
  4. Step 4: Simplify right side
    6,820.64x = 67,576,269.94
  5. Step 5: Solve for x
    x = 67,576,269.94/6,820.64
  6. Step 6: Final answer
    x = 9,907.61

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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.