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Finding the Fourth Proportional to 11,486.89, 17,229.93 and 3,695.50

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Solution

The fourth proportional to 11,486.89, 17,229.93 and 3,695.50 is: 5,543.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486.89 : 17,229.93 = 3,695.50 : x
  2. Step 2: Convert to fraction form
    11,486.89/17,229.93 = 3,695.50/x
  3. Step 3: Cross multiply
    11,486.89x = 17,229.93 × 3,695.50
  4. Step 4: Simplify right side
    11,486.89x = 63,673,206.32
  5. Step 5: Solve for x
    x = 63,673,206.32/11,486.89
  6. Step 6: Final answer
    x = 5,543.12

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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.