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Finding the Fourth Proportional to 11,640.51, 17,460.81 and 6,095.49

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Solution

The fourth proportional to 11,640.51, 17,460.81 and 6,095.49 is: 9,143.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640.51 : 17,460.81 = 6,095.49 : x
  2. Step 2: Convert to fraction form
    11,640.51/17,460.81 = 6,095.49/x
  3. Step 3: Cross multiply
    11,640.51x = 17,460.81 × 6,095.49
  4. Step 4: Simplify right side
    11,640.51x = 106,432,192.75
  5. Step 5: Solve for x
    x = 106,432,192.75/11,640.51
  6. Step 6: Final answer
    x = 9,143.26

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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.