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Finding the Fourth Proportional to 11,536.41, 17,308.64 and 3,640.15

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Solution

The fourth proportional to 11,536.41, 17,308.64 and 3,640.15 is: 5,461.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,536.41 : 17,308.64 = 3,640.15 : x
  2. Step 2: Convert to fraction form
    11,536.41/17,308.64 = 3,640.15/x
  3. Step 3: Cross multiply
    11,536.41x = 17,308.64 × 3,640.15
  4. Step 4: Simplify right side
    11,536.41x = 63,005,941.15
  5. Step 5: Solve for x
    x = 63,005,941.15/11,536.41
  6. Step 6: Final answer
    x = 5,461.49

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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.