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Finding the Fourth Proportional to 7,266.96, 10,899.41 and 2,335.96

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Solution

The fourth proportional to 7,266.96, 10,899.41 and 2,335.96 is: 3,503.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,266.96 : 10,899.41 = 2,335.96 : x
  2. Step 2: Convert to fraction form
    7,266.96/10,899.41 = 2,335.96/x
  3. Step 3: Cross multiply
    7,266.96x = 10,899.41 × 2,335.96
  4. Step 4: Simplify right side
    7,266.96x = 25,460,587.73
  5. Step 5: Solve for x
    x = 25,460,587.73/7,266.96
  6. Step 6: Final answer
    x = 3,503.61

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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.