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Finding the Fourth Proportional to 7,445.60, 11,164.74 and 3,693.02

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Solution

The fourth proportional to 7,445.60, 11,164.74 and 3,693.02 is: 5,537.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,445.60 : 11,164.74 = 3,693.02 : x
  2. Step 2: Convert to fraction form
    7,445.60/11,164.74 = 3,693.02/x
  3. Step 3: Cross multiply
    7,445.60x = 11,164.74 × 3,693.02
  4. Step 4: Simplify right side
    7,445.60x = 41,231,608.11
  5. Step 5: Solve for x
    x = 41,231,608.11/7,445.60
  6. Step 6: Final answer
    x = 5,537.71

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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.