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Finding the Fourth Proportional to 10,145.88, 15,222.28 and 5,466.37

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Solution

The fourth proportional to 10,145.88, 15,222.28 and 5,466.37 is: 8,201.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,145.88 : 15,222.28 = 5,466.37 : x
  2. Step 2: Convert to fraction form
    10,145.88/15,222.28 = 5,466.37/x
  3. Step 3: Cross multiply
    10,145.88x = 15,222.28 × 5,466.37
  4. Step 4: Simplify right side
    10,145.88x = 83,210,511.28
  5. Step 5: Solve for x
    x = 83,210,511.28/10,145.88
  6. Step 6: Final answer
    x = 8,201.41

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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.