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Finding the Fourth Proportional to 6,354.54, 8,766.34 and 4,117.16

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Solution

The fourth proportional to 6,354.54, 8,766.34 and 4,117.16 is: 5,679.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.54 : 8,766.34 = 4,117.16 : x
  2. Step 2: Convert to fraction form
    6,354.54/8,766.34 = 4,117.16/x
  3. Step 3: Cross multiply
    6,354.54x = 8,766.34 × 4,117.16
  4. Step 4: Simplify right side
    6,354.54x = 36,092,424.39
  5. Step 5: Solve for x
    x = 36,092,424.39/6,354.54
  6. Step 6: Final answer
    x = 5,679.79

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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.