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Finding the Fourth Proportional to 10,753.50, 16,127.46 and 4,827

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Solution

The fourth proportional to 10,753.50, 16,127.46 and 4,827 is: 7,239.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,753.50 : 16,127.46 = 4,827 : x
  2. Step 2: Convert to fraction form
    10,753.50/16,127.46 = 4,827/x
  3. Step 3: Cross multiply
    10,753.50x = 16,127.46 × 4,827
  4. Step 4: Simplify right side
    10,753.50x = 77,847,249.42
  5. Step 5: Solve for x
    x = 77,847,249.42/10,753.50
  6. Step 6: Final answer
    x = 7,239.25

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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.