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Finding the Fourth Proportional to 8,468.35, 11,678.98 and 6,348.67

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Solution

The fourth proportional to 8,468.35, 11,678.98 and 6,348.67 is: 8,755.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,468.35 : 11,678.98 = 6,348.67 : x
  2. Step 2: Convert to fraction form
    8,468.35/11,678.98 = 6,348.67/x
  3. Step 3: Cross multiply
    8,468.35x = 11,678.98 × 6,348.67
  4. Step 4: Simplify right side
    8,468.35x = 74,145,989.96
  5. Step 5: Solve for x
    x = 74,145,989.96/8,468.35
  6. Step 6: Final answer
    x = 8,755.66

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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.