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Finding the Fourth Proportional to 11,562, 17,346.89 and 3,665.80

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Solution

The fourth proportional to 11,562, 17,346.89 and 3,665.80 is: 5,499.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,562 : 17,346.89 = 3,665.80 : x
  2. Step 2: Convert to fraction form
    11,562/17,346.89 = 3,665.80/x
  3. Step 3: Cross multiply
    11,562x = 17,346.89 × 3,665.80
  4. Step 4: Simplify right side
    11,562x = 63,590,229.36
  5. Step 5: Solve for x
    x = 63,590,229.36/11,562
  6. Step 6: Final answer
    x = 5,499.93

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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.