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Finding the Fourth Proportional to 11,314.73, 15,615.06 and 6,278.96

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Solution

The fourth proportional to 11,314.73, 15,615.06 and 6,278.96 is: 8,665.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.73 : 15,615.06 = 6,278.96 : x
  2. Step 2: Convert to fraction form
    11,314.73/15,615.06 = 6,278.96/x
  3. Step 3: Cross multiply
    11,314.73x = 15,615.06 × 6,278.96
  4. Step 4: Simplify right side
    11,314.73x = 98,046,376.18
  5. Step 5: Solve for x
    x = 98,046,376.18/11,314.73
  6. Step 6: Final answer
    x = 8,665.37

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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.