Home / 10,456.49-14,430-5,676.44

Finding the Fourth Proportional to 10,456.49, 14,430 and 5,676.44

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Solution

The fourth proportional to 10,456.49, 14,430 and 5,676.44 is: 7,833.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,456.49 : 14,430 = 5,676.44 : x
  2. Step 2: Convert to fraction form
    10,456.49/14,430 = 5,676.44/x
  3. Step 3: Cross multiply
    10,456.49x = 14,430 × 5,676.44
  4. Step 4: Simplify right side
    10,456.49x = 81,910,957.05
  5. Step 5: Solve for x
    x = 81,910,957.05/10,456.49
  6. Step 6: Final answer
    x = 7,833.51

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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.