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Finding the Fourth Proportional to 10,854, 16,259.22 and 5,002.56

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Solution

The fourth proportional to 10,854, 16,259.22 and 5,002.56 is: 7,493.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854 : 16,259.22 = 5,002.56 : x
  2. Step 2: Convert to fraction form
    10,854/16,259.22 = 5,002.56/x
  3. Step 3: Cross multiply
    10,854x = 16,259.22 × 5,002.56
  4. Step 4: Simplify right side
    10,854x = 81,337,723.60
  5. Step 5: Solve for x
    x = 81,337,723.60/10,854
  6. Step 6: Final answer
    x = 7,493.80

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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.