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Finding the Fourth Proportional to 11,497.56, 17,246.40 and 3,177.60

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Solution

The fourth proportional to 11,497.56, 17,246.40 and 3,177.60 is: 4,766.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497.56 : 17,246.40 = 3,177.60 : x
  2. Step 2: Convert to fraction form
    11,497.56/17,246.40 = 3,177.60/x
  3. Step 3: Cross multiply
    11,497.56x = 17,246.40 × 3,177.60
  4. Step 4: Simplify right side
    11,497.56x = 54,802,160.64
  5. Step 5: Solve for x
    x = 54,802,160.64/11,497.56
  6. Step 6: Final answer
    x = 4,766.42

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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.