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Finding the Fourth Proportional to 6,354.21, 8,765.85 and 4,116.84

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Solution

The fourth proportional to 6,354.21, 8,765.85 and 4,116.84 is: 5,679.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.21 : 8,765.85 = 4,116.84 : x
  2. Step 2: Convert to fraction form
    6,354.21/8,765.85 = 4,116.84/x
  3. Step 3: Cross multiply
    6,354.21x = 8,765.85 × 4,116.84
  4. Step 4: Simplify right side
    6,354.21x = 36,087,601.91
  5. Step 5: Solve for x
    x = 36,087,601.91/6,354.21
  6. Step 6: Final answer
    x = 5,679.32

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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.