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Finding the Fourth Proportional to 7,873.14, 11,809.93 and 2,029.75

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Solution

The fourth proportional to 7,873.14, 11,809.93 and 2,029.75 is: 3,044.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873.14 : 11,809.93 = 2,029.75 : x
  2. Step 2: Convert to fraction form
    7,873.14/11,809.93 = 2,029.75/x
  3. Step 3: Cross multiply
    7,873.14x = 11,809.93 × 2,029.75
  4. Step 4: Simplify right side
    7,873.14x = 23,971,165.15
  5. Step 5: Solve for x
    x = 23,971,165.15/7,873.14
  6. Step 6: Final answer
    x = 3,044.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.