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Finding the Fourth Proportional to 11,967.04, 17,959.96 and 8,295.08

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Solution

The fourth proportional to 11,967.04, 17,959.96 and 8,295.08 is: 12,449.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.04 : 17,959.96 = 8,295.08 : x
  2. Step 2: Convert to fraction form
    11,967.04/17,959.96 = 8,295.08/x
  3. Step 3: Cross multiply
    11,967.04x = 17,959.96 × 8,295.08
  4. Step 4: Simplify right side
    11,967.04x = 148,979,305.00
  5. Step 5: Solve for x
    x = 148,979,305.00/11,967.04
  6. Step 6: Final answer
    x = 12,449.14

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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.