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Finding the Fourth Proportional to 11,211.50, 15,472.35 and 6,243.50

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Solution

The fourth proportional to 11,211.50, 15,472.35 and 6,243.50 is: 8,616.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,211.50 : 15,472.35 = 6,243.50 : x
  2. Step 2: Convert to fraction form
    11,211.50/15,472.35 = 6,243.50/x
  3. Step 3: Cross multiply
    11,211.50x = 15,472.35 × 6,243.50
  4. Step 4: Simplify right side
    11,211.50x = 96,601,617.23
  5. Step 5: Solve for x
    x = 96,601,617.23/11,211.50
  6. Step 6: Final answer
    x = 8,616.30

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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.