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Finding the Fourth Proportional to 11,633.06, 17,455.62 and 6,371.84

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Solution

The fourth proportional to 11,633.06, 17,455.62 and 6,371.84 is: 9,561.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,633.06 : 17,455.62 = 6,371.84 : x
  2. Step 2: Convert to fraction form
    11,633.06/17,455.62 = 6,371.84/x
  3. Step 3: Cross multiply
    11,633.06x = 17,455.62 × 6,371.84
  4. Step 4: Simplify right side
    11,633.06x = 111,224,417.74
  5. Step 5: Solve for x
    x = 111,224,417.74/11,633.06
  6. Step 6: Final answer
    x = 9,561.06

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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.