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Finding the Fourth Proportional to 10,270.36, 14,173.08 and 5,794.10

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Solution

The fourth proportional to 10,270.36, 14,173.08 and 5,794.10 is: 7,995.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,270.36 : 14,173.08 = 5,794.10 : x
  2. Step 2: Convert to fraction form
    10,270.36/14,173.08 = 5,794.10/x
  3. Step 3: Cross multiply
    10,270.36x = 14,173.08 × 5,794.10
  4. Step 4: Simplify right side
    10,270.36x = 82,120,242.83
  5. Step 5: Solve for x
    x = 82,120,242.83/10,270.36
  6. Step 6: Final answer
    x = 7,995.85

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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.