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Finding the Fourth Proportional to 7,523.60, 11,285.80 and 3,136.64

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Solution

The fourth proportional to 7,523.60, 11,285.80 and 3,136.64 is: 4,705.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,523.60 : 11,285.80 = 3,136.64 : x
  2. Step 2: Convert to fraction form
    7,523.60/11,285.80 = 3,136.64/x
  3. Step 3: Cross multiply
    7,523.60x = 11,285.80 × 3,136.64
  4. Step 4: Simplify right side
    7,523.60x = 35,399,427.44
  5. Step 5: Solve for x
    x = 35,399,427.44/7,523.60
  6. Step 6: Final answer
    x = 4,705.12

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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.