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Finding the Fourth Proportional to 10,299.38, 14,215.41 and 5,823.32

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Solution

The fourth proportional to 10,299.38, 14,215.41 and 5,823.32 is: 8,037.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299.38 : 14,215.41 = 5,823.32 : x
  2. Step 2: Convert to fraction form
    10,299.38/14,215.41 = 5,823.32/x
  3. Step 3: Cross multiply
    10,299.38x = 14,215.41 × 5,823.32
  4. Step 4: Simplify right side
    10,299.38x = 82,780,810.28
  5. Step 5: Solve for x
    x = 82,780,810.28/10,299.38
  6. Step 6: Final answer
    x = 8,037.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.