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Finding the Fourth Proportional to 8,635.34, 11,906.45 and 6,117.86

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Solution

The fourth proportional to 8,635.34, 11,906.45 and 6,117.86 is: 8,435.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,635.34 : 11,906.45 = 6,117.86 : x
  2. Step 2: Convert to fraction form
    8,635.34/11,906.45 = 6,117.86/x
  3. Step 3: Cross multiply
    8,635.34x = 11,906.45 × 6,117.86
  4. Step 4: Simplify right side
    8,635.34x = 72,841,904.08
  5. Step 5: Solve for x
    x = 72,841,904.08/8,635.34
  6. Step 6: Final answer
    x = 8,435.33

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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.