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Finding the Fourth Proportional to 10,750.50, 16,122.96 and 4,824

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Solution

The fourth proportional to 10,750.50, 16,122.96 and 4,824 is: 7,234.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,750.50 : 16,122.96 = 4,824 : x
  2. Step 2: Convert to fraction form
    10,750.50/16,122.96 = 4,824/x
  3. Step 3: Cross multiply
    10,750.50x = 16,122.96 × 4,824
  4. Step 4: Simplify right side
    10,750.50x = 77,777,159.04
  5. Step 5: Solve for x
    x = 77,777,159.04/10,750.50
  6. Step 6: Final answer
    x = 7,234.75

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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.