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Finding the Fourth Proportional to 10,089.44, 13,919.52 and 7,443.14

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Solution

The fourth proportional to 10,089.44, 13,919.52 and 7,443.14 is: 10,268.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,089.44 : 13,919.52 = 7,443.14 : x
  2. Step 2: Convert to fraction form
    10,089.44/13,919.52 = 7,443.14/x
  3. Step 3: Cross multiply
    10,089.44x = 13,919.52 × 7,443.14
  4. Step 4: Simplify right side
    10,089.44x = 103,604,936.09
  5. Step 5: Solve for x
    x = 103,604,936.09/10,089.44
  6. Step 6: Final answer
    x = 10,268.65

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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.