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Finding the Fourth Proportional to 11,475.37, 15,832.74 and 7,443.32

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Solution

The fourth proportional to 11,475.37, 15,832.74 and 7,443.32 is: 10,269.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,475.37 : 15,832.74 = 7,443.32 : x
  2. Step 2: Convert to fraction form
    11,475.37/15,832.74 = 7,443.32/x
  3. Step 3: Cross multiply
    11,475.37x = 15,832.74 × 7,443.32
  4. Step 4: Simplify right side
    11,475.37x = 117,848,122.64
  5. Step 5: Solve for x
    x = 117,848,122.64/11,475.37
  6. Step 6: Final answer
    x = 10,269.66

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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.