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Finding the Fourth Proportional to 10,334.42, 14,255.97 and 7,185.14

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Solution

The fourth proportional to 10,334.42, 14,255.97 and 7,185.14 is: 9,911.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,334.42 : 14,255.97 = 7,185.14 : x
  2. Step 2: Convert to fraction form
    10,334.42/14,255.97 = 7,185.14/x
  3. Step 3: Cross multiply
    10,334.42x = 14,255.97 × 7,185.14
  4. Step 4: Simplify right side
    10,334.42x = 102,431,140.29
  5. Step 5: Solve for x
    x = 102,431,140.29/10,334.42
  6. Step 6: Final answer
    x = 9,911.65

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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.