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Finding the Fourth Proportional to 11,480.56, 17,214.96 and 4,084.06

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Solution

The fourth proportional to 11,480.56, 17,214.96 and 4,084.06 is: 6,124.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,480.56 : 17,214.96 = 4,084.06 : x
  2. Step 2: Convert to fraction form
    11,480.56/17,214.96 = 4,084.06/x
  3. Step 3: Cross multiply
    11,480.56x = 17,214.96 × 4,084.06
  4. Step 4: Simplify right side
    11,480.56x = 70,306,929.54
  5. Step 5: Solve for x
    x = 70,306,929.54/11,480.56
  6. Step 6: Final answer
    x = 6,124.00

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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.