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Finding the Fourth Proportional to 11,331.50, 15,638.44 and 6,364.46

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Solution

The fourth proportional to 11,331.50, 15,638.44 and 6,364.46 is: 8,783.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,331.50 : 15,638.44 = 6,364.46 : x
  2. Step 2: Convert to fraction form
    11,331.50/15,638.44 = 6,364.46/x
  3. Step 3: Cross multiply
    11,331.50x = 15,638.44 × 6,364.46
  4. Step 4: Simplify right side
    11,331.50x = 99,530,225.84
  5. Step 5: Solve for x
    x = 99,530,225.84/11,331.50
  6. Step 6: Final answer
    x = 8,783.50

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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.