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Finding the Fourth Proportional to 11,466.74, 15,817.39 and 7,211.05

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Solution

The fourth proportional to 11,466.74, 15,817.39 and 7,211.05 is: 9,947.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,466.74 : 15,817.39 = 7,211.05 : x
  2. Step 2: Convert to fraction form
    11,466.74/15,817.39 = 7,211.05/x
  3. Step 3: Cross multiply
    11,466.74x = 15,817.39 × 7,211.05
  4. Step 4: Simplify right side
    11,466.74x = 114,059,932.59
  5. Step 5: Solve for x
    x = 114,059,932.59/11,466.74
  6. Step 6: Final answer
    x = 9,947.02

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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.