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Finding the Fourth Proportional to 10,104.02, 13,940.63 and 5,855.06

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Solution

The fourth proportional to 10,104.02, 13,940.63 and 5,855.06 is: 8,078.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,104.02 : 13,940.63 = 5,855.06 : x
  2. Step 2: Convert to fraction form
    10,104.02/13,940.63 = 5,855.06/x
  3. Step 3: Cross multiply
    10,104.02x = 13,940.63 × 5,855.06
  4. Step 4: Simplify right side
    10,104.02x = 81,623,225.09
  5. Step 5: Solve for x
    x = 81,623,225.09/10,104.02
  6. Step 6: Final answer
    x = 8,078.29

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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.