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Finding the Fourth Proportional to 11,274.80, 15,554.03 and 7,297.19

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Solution

The fourth proportional to 11,274.80, 15,554.03 and 7,297.19 is: 10,066.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,274.80 : 15,554.03 = 7,297.19 : x
  2. Step 2: Convert to fraction form
    11,274.80/15,554.03 = 7,297.19/x
  3. Step 3: Cross multiply
    11,274.80x = 15,554.03 × 7,297.19
  4. Step 4: Simplify right side
    11,274.80x = 113,500,656.25
  5. Step 5: Solve for x
    x = 113,500,656.25/11,274.80
  6. Step 6: Final answer
    x = 10,066.76

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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.