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Finding the Fourth Proportional to 7,536.68, 11,305.02 and 3,638.34

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Solution

The fourth proportional to 7,536.68, 11,305.02 and 3,638.34 is: 5,457.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,536.68 : 11,305.02 = 3,638.34 : x
  2. Step 2: Convert to fraction form
    7,536.68/11,305.02 = 3,638.34/x
  3. Step 3: Cross multiply
    7,536.68x = 11,305.02 × 3,638.34
  4. Step 4: Simplify right side
    7,536.68x = 41,131,506.47
  5. Step 5: Solve for x
    x = 41,131,506.47/7,536.68
  6. Step 6: Final answer
    x = 5,457.51

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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.