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Finding the Fourth Proportional to 7,451.50, 11,176.00 and 2,256.14

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Solution

The fourth proportional to 7,451.50, 11,176.00 and 2,256.14 is: 3,383.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,451.50 : 11,176.00 = 2,256.14 : x
  2. Step 2: Convert to fraction form
    7,451.50/11,176.00 = 2,256.14/x
  3. Step 3: Cross multiply
    7,451.50x = 11,176.00 × 2,256.14
  4. Step 4: Simplify right side
    7,451.50x = 25,214,570.40
  5. Step 5: Solve for x
    x = 25,214,570.40/7,451.50
  6. Step 6: Final answer
    x = 3,383.83

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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.