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Finding the Fourth Proportional to 10,388.36, 14,326.44 and 8,120

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Solution

The fourth proportional to 10,388.36, 14,326.44 and 8,120 is: 11,198.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,388.36 : 14,326.44 = 8,120 : x
  2. Step 2: Convert to fraction form
    10,388.36/14,326.44 = 8,120/x
  3. Step 3: Cross multiply
    10,388.36x = 14,326.44 × 8,120
  4. Step 4: Simplify right side
    10,388.36x = 116,330,692.80
  5. Step 5: Solve for x
    x = 116,330,692.80/10,388.36
  6. Step 6: Final answer
    x = 11,198.18

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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.