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Finding the Fourth Proportional to 10,019.01, 13,825.17 and 5,542.95

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Solution

The fourth proportional to 10,019.01, 13,825.17 and 5,542.95 is: 7,648.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019.01 : 13,825.17 = 5,542.95 : x
  2. Step 2: Convert to fraction form
    10,019.01/13,825.17 = 5,542.95/x
  3. Step 3: Cross multiply
    10,019.01x = 13,825.17 × 5,542.95
  4. Step 4: Simplify right side
    10,019.01x = 76,632,226.05
  5. Step 5: Solve for x
    x = 76,632,226.05/10,019.01
  6. Step 6: Final answer
    x = 7,648.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.