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Finding the Fourth Proportional to 11,967.30, 17,949.78 and 4,945.32

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Solution

The fourth proportional to 11,967.30, 17,949.78 and 4,945.32 is: 7,417.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.30 : 17,949.78 = 4,945.32 : x
  2. Step 2: Convert to fraction form
    11,967.30/17,949.78 = 4,945.32/x
  3. Step 3: Cross multiply
    11,967.30x = 17,949.78 × 4,945.32
  4. Step 4: Simplify right side
    11,967.30x = 88,767,406.03
  5. Step 5: Solve for x
    x = 88,767,406.03/11,967.30
  6. Step 6: Final answer
    x = 7,417.50

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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.