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Finding the Fourth Proportional to 10,242, 15,363.36 and 5,857.44

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Solution

The fourth proportional to 10,242, 15,363.36 and 5,857.44 is: 8,786.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,242 : 15,363.36 = 5,857.44 : x
  2. Step 2: Convert to fraction form
    10,242/15,363.36 = 5,857.44/x
  3. Step 3: Cross multiply
    10,242x = 15,363.36 × 5,857.44
  4. Step 4: Simplify right side
    10,242x = 89,989,959.40
  5. Step 5: Solve for x
    x = 89,989,959.40/10,242
  6. Step 6: Final answer
    x = 8,786.37

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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.