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Finding the Fourth Proportional to 11,797.13, 17,698.43 and 4,005.95

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Solution

The fourth proportional to 11,797.13, 17,698.43 and 4,005.95 is: 6,009.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,797.13 : 17,698.43 = 4,005.95 : x
  2. Step 2: Convert to fraction form
    11,797.13/17,698.43 = 4,005.95/x
  3. Step 3: Cross multiply
    11,797.13x = 17,698.43 × 4,005.95
  4. Step 4: Simplify right side
    11,797.13x = 70,898,917.14
  5. Step 5: Solve for x
    x = 70,898,917.14/11,797.13
  6. Step 6: Final answer
    x = 6,009.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.