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Finding the Fourth Proportional to 10,018.98, 13,825.13 and 5,542.02

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Solution

The fourth proportional to 10,018.98, 13,825.13 and 5,542.02 is: 7,647.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,018.98 : 13,825.13 = 5,542.02 : x
  2. Step 2: Convert to fraction form
    10,018.98/13,825.13 = 5,542.02/x
  3. Step 3: Cross multiply
    10,018.98x = 13,825.13 × 5,542.02
  4. Step 4: Simplify right side
    10,018.98x = 76,619,119.25
  5. Step 5: Solve for x
    x = 76,619,119.25/10,018.98
  6. Step 6: Final answer
    x = 7,647.40

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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.