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Finding the Fourth Proportional to 6,267.67, 8,650.19 and 4,116.06

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Solution

The fourth proportional to 6,267.67, 8,650.19 and 4,116.06 is: 5,680.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,267.67 : 8,650.19 = 4,116.06 : x
  2. Step 2: Convert to fraction form
    6,267.67/8,650.19 = 4,116.06/x
  3. Step 3: Cross multiply
    6,267.67x = 8,650.19 × 4,116.06
  4. Step 4: Simplify right side
    6,267.67x = 35,604,701.05
  5. Step 5: Solve for x
    x = 35,604,701.05/6,267.67
  6. Step 6: Final answer
    x = 5,680.69

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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.