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Finding the Fourth Proportional to 27,533.28, 41,298.56 and 7,809.28

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Solution

The fourth proportional to 27,533.28, 41,298.56 and 7,809.28 is: 11,713.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,533.28 : 41,298.56 = 7,809.28 : x
  2. Step 2: Convert to fraction form
    27,533.28/41,298.56 = 7,809.28/x
  3. Step 3: Cross multiply
    27,533.28x = 41,298.56 × 7,809.28
  4. Step 4: Simplify right side
    27,533.28x = 322,511,905.63
  5. Step 5: Solve for x
    x = 322,511,905.63/27,533.28
  6. Step 6: Final answer
    x = 11,713.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.