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Finding the Fourth Proportional to 6,343.64, 8,753.76 and 3,511

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Solution

The fourth proportional to 6,343.64, 8,753.76 and 3,511 is: 4,844.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.64 : 8,753.76 = 3,511 : x
  2. Step 2: Convert to fraction form
    6,343.64/8,753.76 = 3,511/x
  3. Step 3: Cross multiply
    6,343.64x = 8,753.76 × 3,511
  4. Step 4: Simplify right side
    6,343.64x = 30,734,451.36
  5. Step 5: Solve for x
    x = 30,734,451.36/6,343.64
  6. Step 6: Final answer
    x = 4,844.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.