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Finding the Fourth Proportional to 11,633.90, 17,460.93 and 6,091.13

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Solution

The fourth proportional to 11,633.90, 17,460.93 and 6,091.13 is: 9,141.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,633.90 : 17,460.93 = 6,091.13 : x
  2. Step 2: Convert to fraction form
    11,633.90/17,460.93 = 6,091.13/x
  3. Step 3: Cross multiply
    11,633.90x = 17,460.93 × 6,091.13
  4. Step 4: Simplify right side
    11,633.90x = 106,356,707.25
  5. Step 5: Solve for x
    x = 106,356,707.25/11,633.90
  6. Step 6: Final answer
    x = 9,141.96

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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.