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Finding the Fourth Proportional to 7,226.64, 10,839.94 and 2,032.50

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Solution

The fourth proportional to 7,226.64, 10,839.94 and 2,032.50 is: 3,048.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,226.64 : 10,839.94 = 2,032.50 : x
  2. Step 2: Convert to fraction form
    7,226.64/10,839.94 = 2,032.50/x
  3. Step 3: Cross multiply
    7,226.64x = 10,839.94 × 2,032.50
  4. Step 4: Simplify right side
    7,226.64x = 22,032,178.05
  5. Step 5: Solve for x
    x = 22,032,178.05/7,226.64
  6. Step 6: Final answer
    x = 3,048.74

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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.