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Finding the Fourth Proportional to 11,482.63, 17,223.87 and 3,691.46

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Solution

The fourth proportional to 11,482.63, 17,223.87 and 3,691.46 is: 5,537.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,482.63 : 17,223.87 = 3,691.46 : x
  2. Step 2: Convert to fraction form
    11,482.63/17,223.87 = 3,691.46/x
  3. Step 3: Cross multiply
    11,482.63x = 17,223.87 × 3,691.46
  4. Step 4: Simplify right side
    11,482.63x = 63,581,227.15
  5. Step 5: Solve for x
    x = 63,581,227.15/11,482.63
  6. Step 6: Final answer
    x = 5,537.17

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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.