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Finding the Fourth Proportional to 6,384.83, 8,812.11 and 3,731.72

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Solution

The fourth proportional to 6,384.83, 8,812.11 and 3,731.72 is: 5,150.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.83 : 8,812.11 = 3,731.72 : x
  2. Step 2: Convert to fraction form
    6,384.83/8,812.11 = 3,731.72/x
  3. Step 3: Cross multiply
    6,384.83x = 8,812.11 × 3,731.72
  4. Step 4: Simplify right side
    6,384.83x = 32,884,305.10
  5. Step 5: Solve for x
    x = 32,884,305.10/6,384.83
  6. Step 6: Final answer
    x = 5,150.38

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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.