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Finding the Fourth Proportional to 11,314.37, 15,623.74 and 7,072.68

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Solution

The fourth proportional to 11,314.37, 15,623.74 and 7,072.68 is: 9,766.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.37 : 15,623.74 = 7,072.68 : x
  2. Step 2: Convert to fraction form
    11,314.37/15,623.74 = 7,072.68/x
  3. Step 3: Cross multiply
    11,314.37x = 15,623.74 × 7,072.68
  4. Step 4: Simplify right side
    11,314.37x = 110,501,652.99
  5. Step 5: Solve for x
    x = 110,501,652.99/11,314.37
  6. Step 6: Final answer
    x = 9,766.49

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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.