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Finding the Fourth Proportional to 7,874.14, 10,857.30 and 5,881.33

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Solution

The fourth proportional to 7,874.14, 10,857.30 and 5,881.33 is: 8,109.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.14 : 10,857.30 = 5,881.33 : x
  2. Step 2: Convert to fraction form
    7,874.14/10,857.30 = 5,881.33/x
  3. Step 3: Cross multiply
    7,874.14x = 10,857.30 × 5,881.33
  4. Step 4: Simplify right side
    7,874.14x = 63,855,364.21
  5. Step 5: Solve for x
    x = 63,855,364.21/7,874.14
  6. Step 6: Final answer
    x = 8,109.50

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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.