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Finding the Fourth Proportional to 7,474.71, 11,212.76 and 3,774.60

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Solution

The fourth proportional to 7,474.71, 11,212.76 and 3,774.60 is: 5,662.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,474.71 : 11,212.76 = 3,774.60 : x
  2. Step 2: Convert to fraction form
    7,474.71/11,212.76 = 3,774.60/x
  3. Step 3: Cross multiply
    7,474.71x = 11,212.76 × 3,774.60
  4. Step 4: Simplify right side
    7,474.71x = 42,323,693.33
  5. Step 5: Solve for x
    x = 42,323,693.33/7,474.71
  6. Step 6: Final answer
    x = 5,662.25

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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.