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Finding the Fourth Proportional to 7,161, 10,745.82 and 3,057

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Solution

The fourth proportional to 7,161, 10,745.82 and 3,057 is: 4,587.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161 : 10,745.82 = 3,057 : x
  2. Step 2: Convert to fraction form
    7,161/10,745.82 = 3,057/x
  3. Step 3: Cross multiply
    7,161x = 10,745.82 × 3,057
  4. Step 4: Simplify right side
    7,161x = 32,849,971.74
  5. Step 5: Solve for x
    x = 32,849,971.74/7,161
  6. Step 6: Final answer
    x = 4,587.34

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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.