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Finding the Fourth Proportional to 7,522.40, 11,283.60 and 5,189.60

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Solution

The fourth proportional to 7,522.40, 11,283.60 and 5,189.60 is: 7,784.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,522.40 : 11,283.60 = 5,189.60 : x
  2. Step 2: Convert to fraction form
    7,522.40/11,283.60 = 5,189.60/x
  3. Step 3: Cross multiply
    7,522.40x = 11,283.60 × 5,189.60
  4. Step 4: Simplify right side
    7,522.40x = 58,557,370.56
  5. Step 5: Solve for x
    x = 58,557,370.56/7,522.40
  6. Step 6: Final answer
    x = 7,784.40

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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.