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Finding the Fourth Proportional to 11,548.78, 15,928.26 and 8,362.56

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Solution

The fourth proportional to 11,548.78, 15,928.26 and 8,362.56 is: 11,533.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,548.78 : 15,928.26 = 8,362.56 : x
  2. Step 2: Convert to fraction form
    11,548.78/15,928.26 = 8,362.56/x
  3. Step 3: Cross multiply
    11,548.78x = 15,928.26 × 8,362.56
  4. Step 4: Simplify right side
    11,548.78x = 133,201,029.95
  5. Step 5: Solve for x
    x = 133,201,029.95/11,548.78
  6. Step 6: Final answer
    x = 11,533.77

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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.