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Finding the Fourth Proportional to 7,259.41, 10,893.96 and 2,642.41

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Solution

The fourth proportional to 7,259.41, 10,893.96 and 2,642.41 is: 3,965.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,259.41 : 10,893.96 = 2,642.41 : x
  2. Step 2: Convert to fraction form
    7,259.41/10,893.96 = 2,642.41/x
  3. Step 3: Cross multiply
    7,259.41x = 10,893.96 × 2,642.41
  4. Step 4: Simplify right side
    7,259.41x = 28,786,308.84
  5. Step 5: Solve for x
    x = 28,786,308.84/7,259.41
  6. Step 6: Final answer
    x = 3,965.38

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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.