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Finding the Fourth Proportional to 7,266.98, 10,028.32 and 4,282.94

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Solution

The fourth proportional to 7,266.98, 10,028.32 and 4,282.94 is: 5,910.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,266.98 : 10,028.32 = 4,282.94 : x
  2. Step 2: Convert to fraction form
    7,266.98/10,028.32 = 4,282.94/x
  3. Step 3: Cross multiply
    7,266.98x = 10,028.32 × 4,282.94
  4. Step 4: Simplify right side
    7,266.98x = 42,950,692.86
  5. Step 5: Solve for x
    x = 42,950,692.86/7,266.98
  6. Step 6: Final answer
    x = 5,910.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.