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Finding the Fourth Proportional to 8,597.72, 12,886.74 and 3,971

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Solution

The fourth proportional to 8,597.72, 12,886.74 and 3,971 is: 5,951.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,597.72 : 12,886.74 = 3,971 : x
  2. Step 2: Convert to fraction form
    8,597.72/12,886.74 = 3,971/x
  3. Step 3: Cross multiply
    8,597.72x = 12,886.74 × 3,971
  4. Step 4: Simplify right side
    8,597.72x = 51,173,244.54
  5. Step 5: Solve for x
    x = 51,173,244.54/8,597.72
  6. Step 6: Final answer
    x = 5,951.96

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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.