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Finding the Fourth Proportional to 6,354.30, 8,767.64 and 4,115.86

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Solution

The fourth proportional to 6,354.30, 8,767.64 and 4,115.86 is: 5,679.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.30 : 8,767.64 = 4,115.86 : x
  2. Step 2: Convert to fraction form
    6,354.30/8,767.64 = 4,115.86/x
  3. Step 3: Cross multiply
    6,354.30x = 8,767.64 × 4,115.86
  4. Step 4: Simplify right side
    6,354.30x = 36,086,416.46
  5. Step 5: Solve for x
    x = 36,086,416.46/6,354.30
  6. Step 6: Final answer
    x = 5,679.06

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