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Finding the Fourth Proportional to 28,004.62, 42,006.94 and 7,226.50

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Solution

The fourth proportional to 28,004.62, 42,006.94 and 7,226.50 is: 10,839.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,004.62 : 42,006.94 = 7,226.50 : x
  2. Step 2: Convert to fraction form
    28,004.62/42,006.94 = 7,226.50/x
  3. Step 3: Cross multiply
    28,004.62x = 42,006.94 × 7,226.50
  4. Step 4: Simplify right side
    28,004.62x = 303,563,151.91
  5. Step 5: Solve for x
    x = 303,563,151.91/28,004.62
  6. Step 6: Final answer
    x = 10,839.75

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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.