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Finding the Fourth Proportional to 6,920.64, 10,385.94 and 2,758.24

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Solution

The fourth proportional to 6,920.64, 10,385.94 and 2,758.24 is: 4,139.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,920.64 : 10,385.94 = 2,758.24 : x
  2. Step 2: Convert to fraction form
    6,920.64/10,385.94 = 2,758.24/x
  3. Step 3: Cross multiply
    6,920.64x = 10,385.94 × 2,758.24
  4. Step 4: Simplify right side
    6,920.64x = 28,646,915.15
  5. Step 5: Solve for x
    x = 28,646,915.15/6,920.64
  6. Step 6: Final answer
    x = 4,139.34

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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.