Home / 10,563.24-14,578.38-7,906

Finding the Fourth Proportional to 10,563.24, 14,578.38 and 7,906

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Solution

The fourth proportional to 10,563.24, 14,578.38 and 7,906 is: 10,911.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563.24 : 14,578.38 = 7,906 : x
  2. Step 2: Convert to fraction form
    10,563.24/14,578.38 = 7,906/x
  3. Step 3: Cross multiply
    10,563.24x = 14,578.38 × 7,906
  4. Step 4: Simplify right side
    10,563.24x = 115,256,672.28
  5. Step 5: Solve for x
    x = 115,256,672.28/10,563.24
  6. Step 6: Final answer
    x = 10,911.11

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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.