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Finding the Fourth Proportional to 11,431.48, 17,176 and 7,273.36

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Solution

The fourth proportional to 11,431.48, 17,176 and 7,273.36 is: 10,928.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,431.48 : 17,176 = 7,273.36 : x
  2. Step 2: Convert to fraction form
    11,431.48/17,176 = 7,273.36/x
  3. Step 3: Cross multiply
    11,431.48x = 17,176 × 7,273.36
  4. Step 4: Simplify right side
    11,431.48x = 124,927,231.36
  5. Step 5: Solve for x
    x = 124,927,231.36/11,431.48
  6. Step 6: Final answer
    x = 10,928.35

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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.