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Finding the Fourth Proportional to 10,299.40, 14,213.11 and 5,823.17

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Solution

The fourth proportional to 10,299.40, 14,213.11 and 5,823.17 is: 8,035.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299.40 : 14,213.11 = 5,823.17 : x
  2. Step 2: Convert to fraction form
    10,299.40/14,213.11 = 5,823.17/x
  3. Step 3: Cross multiply
    10,299.40x = 14,213.11 × 5,823.17
  4. Step 4: Simplify right side
    10,299.40x = 82,765,376.13
  5. Step 5: Solve for x
    x = 82,765,376.13/10,299.40
  6. Step 6: Final answer
    x = 8,035.94

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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.