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Finding the Fourth Proportional to 10,296, 15,443.73 and 4,749.39

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Solution

The fourth proportional to 10,296, 15,443.73 and 4,749.39 is: 7,123.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296 : 15,443.73 = 4,749.39 : x
  2. Step 2: Convert to fraction form
    10,296/15,443.73 = 4,749.39/x
  3. Step 3: Cross multiply
    10,296x = 15,443.73 × 4,749.39
  4. Step 4: Simplify right side
    10,296x = 73,348,296.82
  5. Step 5: Solve for x
    x = 73,348,296.82/10,296
  6. Step 6: Final answer
    x = 7,123.96

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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.