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Finding the Fourth Proportional to 6,955.17, 10,427.27 and 3,442.70

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Solution

The fourth proportional to 6,955.17, 10,427.27 and 3,442.70 is: 5,161.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,955.17 : 10,427.27 = 3,442.70 : x
  2. Step 2: Convert to fraction form
    6,955.17/10,427.27 = 3,442.70/x
  3. Step 3: Cross multiply
    6,955.17x = 10,427.27 × 3,442.70
  4. Step 4: Simplify right side
    6,955.17x = 35,897,893.08
  5. Step 5: Solve for x
    x = 35,897,893.08/6,955.17
  6. Step 6: Final answer
    x = 5,161.33

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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.