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Finding the Fourth Proportional to 11,822.63, 17,739.56 and 7,379.08

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Solution

The fourth proportional to 11,822.63, 17,739.56 and 7,379.08 is: 11,072.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,822.63 : 17,739.56 = 7,379.08 : x
  2. Step 2: Convert to fraction form
    11,822.63/17,739.56 = 7,379.08/x
  3. Step 3: Cross multiply
    11,822.63x = 17,739.56 × 7,379.08
  4. Step 4: Simplify right side
    11,822.63x = 130,901,606.50
  5. Step 5: Solve for x
    x = 130,901,606.50/11,822.63
  6. Step 6: Final answer
    x = 11,072.13

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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.