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Finding the Fourth Proportional to 7,213, 10,823.82 and 3,109

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Solution

The fourth proportional to 7,213, 10,823.82 and 3,109 is: 4,665.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213 : 10,823.82 = 3,109 : x
  2. Step 2: Convert to fraction form
    7,213/10,823.82 = 3,109/x
  3. Step 3: Cross multiply
    7,213x = 10,823.82 × 3,109
  4. Step 4: Simplify right side
    7,213x = 33,651,256.38
  5. Step 5: Solve for x
    x = 33,651,256.38/7,213
  6. Step 6: Final answer
    x = 4,665.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.