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Finding the Fourth Proportional to 12,290.14, 16,961.61 and 7,256.02

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Solution

The fourth proportional to 12,290.14, 16,961.61 and 7,256.02 is: 10,014.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,290.14 : 16,961.61 = 7,256.02 : x
  2. Step 2: Convert to fraction form
    12,290.14/16,961.61 = 7,256.02/x
  3. Step 3: Cross multiply
    12,290.14x = 16,961.61 × 7,256.02
  4. Step 4: Simplify right side
    12,290.14x = 123,073,781.39
  5. Step 5: Solve for x
    x = 123,073,781.39/12,290.14
  6. Step 6: Final answer
    x = 10,014.03

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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.