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Finding the Fourth Proportional to 10,301.92, 15,447 and 3,280.56

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Solution

The fourth proportional to 10,301.92, 15,447 and 3,280.56 is: 4,918.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,301.92 : 15,447 = 3,280.56 : x
  2. Step 2: Convert to fraction form
    10,301.92/15,447 = 3,280.56/x
  3. Step 3: Cross multiply
    10,301.92x = 15,447 × 3,280.56
  4. Step 4: Simplify right side
    10,301.92x = 50,674,810.32
  5. Step 5: Solve for x
    x = 50,674,810.32/10,301.92
  6. Step 6: Final answer
    x = 4,918.97

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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.