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Finding the Fourth Proportional to 7,961.34, 10,971 and 6,702.60

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Solution

The fourth proportional to 7,961.34, 10,971 and 6,702.60 is: 9,236.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,961.34 : 10,971 = 6,702.60 : x
  2. Step 2: Convert to fraction form
    7,961.34/10,971 = 6,702.60/x
  3. Step 3: Cross multiply
    7,961.34x = 10,971 × 6,702.60
  4. Step 4: Simplify right side
    7,961.34x = 73,534,224.60
  5. Step 5: Solve for x
    x = 73,534,224.60/7,961.34
  6. Step 6: Final answer
    x = 9,236.41

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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.