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Finding the Fourth Proportional to 13,278.06, 18,324.48 and 7,311

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Solution

The fourth proportional to 13,278.06, 18,324.48 and 7,311 is: 10,089.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,278.06 : 18,324.48 = 7,311 : x
  2. Step 2: Convert to fraction form
    13,278.06/18,324.48 = 7,311/x
  3. Step 3: Cross multiply
    13,278.06x = 18,324.48 × 7,311
  4. Step 4: Simplify right side
    13,278.06x = 133,970,273.28
  5. Step 5: Solve for x
    x = 133,970,273.28/13,278.06
  6. Step 6: Final answer
    x = 10,089.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.