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Finding the Fourth Proportional to 11,605.22, 17,407.89 and 2,840.14

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Solution

The fourth proportional to 11,605.22, 17,407.89 and 2,840.14 is: 4,260.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,605.22 : 17,407.89 = 2,840.14 : x
  2. Step 2: Convert to fraction form
    11,605.22/17,407.89 = 2,840.14/x
  3. Step 3: Cross multiply
    11,605.22x = 17,407.89 × 2,840.14
  4. Step 4: Simplify right side
    11,605.22x = 49,440,827.49
  5. Step 5: Solve for x
    x = 49,440,827.49/11,605.22
  6. Step 6: Final answer
    x = 4,260.22

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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.