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Finding the Fourth Proportional to 10,201.64, 15,301.01 and 3,275.24

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Solution

The fourth proportional to 10,201.64, 15,301.01 and 3,275.24 is: 4,912.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.64 : 15,301.01 = 3,275.24 : x
  2. Step 2: Convert to fraction form
    10,201.64/15,301.01 = 3,275.24/x
  3. Step 3: Cross multiply
    10,201.64x = 15,301.01 × 3,275.24
  4. Step 4: Simplify right side
    10,201.64x = 50,114,411.68
  5. Step 5: Solve for x
    x = 50,114,411.68/10,201.64
  6. Step 6: Final answer
    x = 4,912.39

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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.