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Finding the Fourth Proportional to 10,018.30, 13,825.17 and 5,542

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Solution

The fourth proportional to 10,018.30, 13,825.17 and 5,542 is: 7,647.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,018.30 : 13,825.17 = 5,542 : x
  2. Step 2: Convert to fraction form
    10,018.30/13,825.17 = 5,542/x
  3. Step 3: Cross multiply
    10,018.30x = 13,825.17 × 5,542
  4. Step 4: Simplify right side
    10,018.30x = 76,619,092.14
  5. Step 5: Solve for x
    x = 76,619,092.14/10,018.30
  6. Step 6: Final answer
    x = 7,647.91

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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.