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Finding the Fourth Proportional to 11,796.63, 17,697.37 and 4,871.13

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Solution

The fourth proportional to 11,796.63, 17,697.37 and 4,871.13 is: 7,307.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796.63 : 17,697.37 = 4,871.13 : x
  2. Step 2: Convert to fraction form
    11,796.63/17,697.37 = 4,871.13/x
  3. Step 3: Cross multiply
    11,796.63x = 17,697.37 × 4,871.13
  4. Step 4: Simplify right side
    11,796.63x = 86,206,189.93
  5. Step 5: Solve for x
    x = 86,206,189.93/11,796.63
  6. Step 6: Final answer
    x = 7,307.70

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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.