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Finding the Fourth Proportional to 11,796.66, 17,697.72 and 4,005.47

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Solution

The fourth proportional to 11,796.66, 17,697.72 and 4,005.47 is: 6,009.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796.66 : 17,697.72 = 4,005.47 : x
  2. Step 2: Convert to fraction form
    11,796.66/17,697.72 = 4,005.47/x
  3. Step 3: Cross multiply
    11,796.66x = 17,697.72 × 4,005.47
  4. Step 4: Simplify right side
    11,796.66x = 70,887,664.41
  5. Step 5: Solve for x
    x = 70,887,664.41/11,796.66
  6. Step 6: Final answer
    x = 6,009.13

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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.