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Finding the Fourth Proportional to 10,023.78, 15,035.50 and 3,450.02

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Solution

The fourth proportional to 10,023.78, 15,035.50 and 3,450.02 is: 5,174.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023.78 : 15,035.50 = 3,450.02 : x
  2. Step 2: Convert to fraction form
    10,023.78/15,035.50 = 3,450.02/x
  3. Step 3: Cross multiply
    10,023.78x = 15,035.50 × 3,450.02
  4. Step 4: Simplify right side
    10,023.78x = 51,872,775.71
  5. Step 5: Solve for x
    x = 51,872,775.71/10,023.78
  6. Step 6: Final answer
    x = 5,174.97

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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.