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Finding the Fourth Proportional to 7,536.69, 11,305.17 and 2,606.46

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Solution

The fourth proportional to 7,536.69, 11,305.17 and 2,606.46 is: 3,909.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,536.69 : 11,305.17 = 2,606.46 : x
  2. Step 2: Convert to fraction form
    7,536.69/11,305.17 = 2,606.46/x
  3. Step 3: Cross multiply
    7,536.69x = 11,305.17 × 2,606.46
  4. Step 4: Simplify right side
    7,536.69x = 29,466,462.50
  5. Step 5: Solve for x
    x = 29,466,462.50/7,536.69
  6. Step 6: Final answer
    x = 3,909.73

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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.