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Finding the Fourth Proportional to 10,014.98, 13,820.14 and 5,538.48

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Solution

The fourth proportional to 10,014.98, 13,820.14 and 5,538.48 is: 7,642.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,014.98 : 13,820.14 = 5,538.48 : x
  2. Step 2: Convert to fraction form
    10,014.98/13,820.14 = 5,538.48/x
  3. Step 3: Cross multiply
    10,014.98x = 13,820.14 × 5,538.48
  4. Step 4: Simplify right side
    10,014.98x = 76,542,568.99
  5. Step 5: Solve for x
    x = 76,542,568.99/10,014.98
  6. Step 6: Final answer
    x = 7,642.81

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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.