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Finding the Fourth Proportional to 10,016.40, 14,996.82 and 5,061.80

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Solution

The fourth proportional to 10,016.40, 14,996.82 and 5,061.80 is: 7,578.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,016.40 : 14,996.82 = 5,061.80 : x
  2. Step 2: Convert to fraction form
    10,016.40/14,996.82 = 5,061.80/x
  3. Step 3: Cross multiply
    10,016.40x = 14,996.82 × 5,061.80
  4. Step 4: Simplify right side
    10,016.40x = 75,910,903.48
  5. Step 5: Solve for x
    x = 75,910,903.48/10,016.40
  6. Step 6: Final answer
    x = 7,578.66

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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.