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Finding the Fourth Proportional to 10,212, 14,092.52 and 5,965.98

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Solution

The fourth proportional to 10,212, 14,092.52 and 5,965.98 is: 8,233.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,212 : 14,092.52 = 5,965.98 : x
  2. Step 2: Convert to fraction form
    10,212/14,092.52 = 5,965.98/x
  3. Step 3: Cross multiply
    10,212x = 14,092.52 × 5,965.98
  4. Step 4: Simplify right side
    10,212x = 84,075,662.64
  5. Step 5: Solve for x
    x = 84,075,662.64/10,212
  6. Step 6: Final answer
    x = 8,233.03

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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.