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Finding the Fourth Proportional to 10,299.54, 14,212.80 and 5,823.02

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Solution

The fourth proportional to 10,299.54, 14,212.80 and 5,823.02 is: 8,035.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299.54 : 14,212.80 = 5,823.02 : x
  2. Step 2: Convert to fraction form
    10,299.54/14,212.80 = 5,823.02/x
  3. Step 3: Cross multiply
    10,299.54x = 14,212.80 × 5,823.02
  4. Step 4: Simplify right side
    10,299.54x = 82,761,418.66
  5. Step 5: Solve for x
    x = 82,761,418.66/10,299.54
  6. Step 6: Final answer
    x = 8,035.45

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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.