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Finding the Fourth Proportional to 7,262.78, 10,899.02 and 2,645.78

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Solution

The fourth proportional to 7,262.78, 10,899.02 and 2,645.78 is: 3,970.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,262.78 : 10,899.02 = 2,645.78 : x
  2. Step 2: Convert to fraction form
    7,262.78/10,899.02 = 2,645.78/x
  3. Step 3: Cross multiply
    7,262.78x = 10,899.02 × 2,645.78
  4. Step 4: Simplify right side
    7,262.78x = 28,836,409.14
  5. Step 5: Solve for x
    x = 28,836,409.14/7,262.78
  6. Step 6: Final answer
    x = 3,970.44

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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.