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Finding the Fourth Proportional to 10,702.96, 14,770.68 and 6,226.80

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Solution

The fourth proportional to 10,702.96, 14,770.68 and 6,226.80 is: 8,593.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.96 : 14,770.68 = 6,226.80 : x
  2. Step 2: Convert to fraction form
    10,702.96/14,770.68 = 6,226.80/x
  3. Step 3: Cross multiply
    10,702.96x = 14,770.68 × 6,226.80
  4. Step 4: Simplify right side
    10,702.96x = 91,974,070.22
  5. Step 5: Solve for x
    x = 91,974,070.22/10,702.96
  6. Step 6: Final answer
    x = 8,593.33

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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.