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Finding the Fourth Proportional to 10,299.36, 14,212.53 and 5,823.30

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Solution

The fourth proportional to 10,299.36, 14,212.53 and 5,823.30 is: 8,035.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299.36 : 14,212.53 = 5,823.30 : x
  2. Step 2: Convert to fraction form
    10,299.36/14,212.53 = 5,823.30/x
  3. Step 3: Cross multiply
    10,299.36x = 14,212.53 × 5,823.30
  4. Step 4: Simplify right side
    10,299.36x = 82,763,799.30
  5. Step 5: Solve for x
    x = 82,763,799.30/10,299.36
  6. Step 6: Final answer
    x = 8,035.82

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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.