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Finding the Fourth Proportional to 10,243.88, 15,365.26 and 5,048

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Solution

The fourth proportional to 10,243.88, 15,365.26 and 5,048 is: 7,571.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,243.88 : 15,365.26 = 5,048 : x
  2. Step 2: Convert to fraction form
    10,243.88/15,365.26 = 5,048/x
  3. Step 3: Cross multiply
    10,243.88x = 15,365.26 × 5,048
  4. Step 4: Simplify right side
    10,243.88x = 77,563,832.48
  5. Step 5: Solve for x
    x = 77,563,832.48/10,243.88
  6. Step 6: Final answer
    x = 7,571.72

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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.