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Finding the Fourth Proportional to 11,967.04, 17,961.65 and 6,048.10

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Solution

The fourth proportional to 11,967.04, 17,961.65 and 6,048.10 is: 9,077.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.04 : 17,961.65 = 6,048.10 : x
  2. Step 2: Convert to fraction form
    11,967.04/17,961.65 = 6,048.10/x
  3. Step 3: Cross multiply
    11,967.04x = 17,961.65 × 6,048.10
  4. Step 4: Simplify right side
    11,967.04x = 108,633,855.37
  5. Step 5: Solve for x
    x = 108,633,855.37/11,967.04
  6. Step 6: Final answer
    x = 9,077.75

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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.