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Finding the Fourth Proportional to 11,351.50, 15,667.56 and 6,317.44

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Solution

The fourth proportional to 11,351.50, 15,667.56 and 6,317.44 is: 8,719.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,351.50 : 15,667.56 = 6,317.44 : x
  2. Step 2: Convert to fraction form
    11,351.50/15,667.56 = 6,317.44/x
  3. Step 3: Cross multiply
    11,351.50x = 15,667.56 × 6,317.44
  4. Step 4: Simplify right side
    11,351.50x = 98,978,870.25
  5. Step 5: Solve for x
    x = 98,978,870.25/11,351.50
  6. Step 6: Final answer
    x = 8,719.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.