Home / 10,299.41-14,213.03-5,823

Finding the Fourth Proportional to 10,299.41, 14,213.03 and 5,823

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Solution

The fourth proportional to 10,299.41, 14,213.03 and 5,823 is: 8,035.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299.41 : 14,213.03 = 5,823 : x
  2. Step 2: Convert to fraction form
    10,299.41/14,213.03 = 5,823/x
  3. Step 3: Cross multiply
    10,299.41x = 14,213.03 × 5,823
  4. Step 4: Simplify right side
    10,299.41x = 82,762,444.58
  5. Step 5: Solve for x
    x = 82,762,444.58/10,299.41
  6. Step 6: Final answer
    x = 8,035.65

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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.