Home / 10,242.84-14,135.82-5,767

Finding the Fourth Proportional to 10,242.84, 14,135.82 and 5,767

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Solution

The fourth proportional to 10,242.84, 14,135.82 and 5,767 is: 7,958.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,242.84 : 14,135.82 = 5,767 : x
  2. Step 2: Convert to fraction form
    10,242.84/14,135.82 = 5,767/x
  3. Step 3: Cross multiply
    10,242.84x = 14,135.82 × 5,767
  4. Step 4: Simplify right side
    10,242.84x = 81,521,273.94
  5. Step 5: Solve for x
    x = 81,521,273.94/10,242.84
  6. Step 6: Final answer
    x = 7,958.85

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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.