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Finding the Fourth Proportional to 10,677.72, 15,994.25 and 8,586.41

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Solution

The fourth proportional to 10,677.72, 15,994.25 and 8,586.41 is: 12,861.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677.72 : 15,994.25 = 8,586.41 : x
  2. Step 2: Convert to fraction form
    10,677.72/15,994.25 = 8,586.41/x
  3. Step 3: Cross multiply
    10,677.72x = 15,994.25 × 8,586.41
  4. Step 4: Simplify right side
    10,677.72x = 137,333,169.62
  5. Step 5: Solve for x
    x = 137,333,169.62/10,677.72
  6. Step 6: Final answer
    x = 12,861.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.