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Finding the Fourth Proportional to 10,201.26, 15,299.94 and 2,803.86

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Solution

The fourth proportional to 10,201.26, 15,299.94 and 2,803.86 is: 4,205.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.26 : 15,299.94 = 2,803.86 : x
  2. Step 2: Convert to fraction form
    10,201.26/15,299.94 = 2,803.86/x
  3. Step 3: Cross multiply
    10,201.26x = 15,299.94 × 2,803.86
  4. Step 4: Simplify right side
    10,201.26x = 42,898,889.77
  5. Step 5: Solve for x
    x = 42,898,889.77/10,201.26
  6. Step 6: Final answer
    x = 4,205.25

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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.