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Finding the Fourth Proportional to 10,496.98, 14,487.15 and 6,021.73

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Solution

The fourth proportional to 10,496.98, 14,487.15 and 6,021.73 is: 8,310.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.98 : 14,487.15 = 6,021.73 : x
  2. Step 2: Convert to fraction form
    10,496.98/14,487.15 = 6,021.73/x
  3. Step 3: Cross multiply
    10,496.98x = 14,487.15 × 6,021.73
  4. Step 4: Simplify right side
    10,496.98x = 87,237,705.77
  5. Step 5: Solve for x
    x = 87,237,705.77/10,496.98
  6. Step 6: Final answer
    x = 8,310.74

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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.