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Finding the Fourth Proportional to 11,362.56, 15,680.34 and 6,327.24

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Solution

The fourth proportional to 11,362.56, 15,680.34 and 6,327.24 is: 8,731.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,362.56 : 15,680.34 = 6,327.24 : x
  2. Step 2: Convert to fraction form
    11,362.56/15,680.34 = 6,327.24/x
  3. Step 3: Cross multiply
    11,362.56x = 15,680.34 × 6,327.24
  4. Step 4: Simplify right side
    11,362.56x = 99,213,274.46
  5. Step 5: Solve for x
    x = 99,213,274.46/11,362.56
  6. Step 6: Final answer
    x = 8,731.60

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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.