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Finding the Fourth Proportional to 7,133.42, 10,701.22 and 2,202.60

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Solution

The fourth proportional to 7,133.42, 10,701.22 and 2,202.60 is: 3,304.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.42 : 10,701.22 = 2,202.60 : x
  2. Step 2: Convert to fraction form
    7,133.42/10,701.22 = 2,202.60/x
  3. Step 3: Cross multiply
    7,133.42x = 10,701.22 × 2,202.60
  4. Step 4: Simplify right side
    7,133.42x = 23,570,507.17
  5. Step 5: Solve for x
    x = 23,570,507.17/7,133.42
  6. Step 6: Final answer
    x = 3,304.24

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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.