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Finding the Fourth Proportional to 6,356.30, 8,767.32 and 4,471.88

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Solution

The fourth proportional to 6,356.30, 8,767.32 and 4,471.88 is: 6,168.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.30 : 8,767.32 = 4,471.88 : x
  2. Step 2: Convert to fraction form
    6,356.30/8,767.32 = 4,471.88/x
  3. Step 3: Cross multiply
    6,356.30x = 8,767.32 × 4,471.88
  4. Step 4: Simplify right side
    6,356.30x = 39,206,402.96
  5. Step 5: Solve for x
    x = 39,206,402.96/6,356.30
  6. Step 6: Final answer
    x = 6,168.12

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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.