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Finding the Fourth Proportional to 7,452.16, 11,173.96 and 3,066

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Solution

The fourth proportional to 7,452.16, 11,173.96 and 3,066 is: 4,597.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,452.16 : 11,173.96 = 3,066 : x
  2. Step 2: Convert to fraction form
    7,452.16/11,173.96 = 3,066/x
  3. Step 3: Cross multiply
    7,452.16x = 11,173.96 × 3,066
  4. Step 4: Simplify right side
    7,452.16x = 34,259,361.36
  5. Step 5: Solve for x
    x = 34,259,361.36/7,452.16
  6. Step 6: Final answer
    x = 4,597.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.