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Finding the Fourth Proportional to 6,884.63, 10,327.05 and 1,954.28

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Solution

The fourth proportional to 6,884.63, 10,327.05 and 1,954.28 is: 2,931.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.63 : 10,327.05 = 1,954.28 : x
  2. Step 2: Convert to fraction form
    6,884.63/10,327.05 = 1,954.28/x
  3. Step 3: Cross multiply
    6,884.63x = 10,327.05 × 1,954.28
  4. Step 4: Simplify right side
    6,884.63x = 20,181,937.50
  5. Step 5: Solve for x
    x = 20,181,937.50/6,884.63
  6. Step 6: Final answer
    x = 2,931.45

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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.