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Finding the Fourth Proportional to 11,821.17, 17,732.07 and 3,056.06

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Solution

The fourth proportional to 11,821.17, 17,732.07 and 3,056.06 is: 4,584.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,821.17 : 17,732.07 = 3,056.06 : x
  2. Step 2: Convert to fraction form
    11,821.17/17,732.07 = 3,056.06/x
  3. Step 3: Cross multiply
    11,821.17x = 17,732.07 × 3,056.06
  4. Step 4: Simplify right side
    11,821.17x = 54,190,314.17
  5. Step 5: Solve for x
    x = 54,190,314.17/11,821.17
  6. Step 6: Final answer
    x = 4,584.17

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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.