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Finding the Fourth Proportional to 10,410.02, 14,365.94 and 5,694.20

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Solution

The fourth proportional to 10,410.02, 14,365.94 and 5,694.20 is: 7,858.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,410.02 : 14,365.94 = 5,694.20 : x
  2. Step 2: Convert to fraction form
    10,410.02/14,365.94 = 5,694.20/x
  3. Step 3: Cross multiply
    10,410.02x = 14,365.94 × 5,694.20
  4. Step 4: Simplify right side
    10,410.02x = 81,802,435.25
  5. Step 5: Solve for x
    x = 81,802,435.25/10,410.02
  6. Step 6: Final answer
    x = 7,858.05

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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.