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Finding the Fourth Proportional to 6,961.66, 10,442.12 and 2,281.07

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Solution

The fourth proportional to 6,961.66, 10,442.12 and 2,281.07 is: 3,421.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,961.66 : 10,442.12 = 2,281.07 : x
  2. Step 2: Convert to fraction form
    6,961.66/10,442.12 = 2,281.07/x
  3. Step 3: Cross multiply
    6,961.66x = 10,442.12 × 2,281.07
  4. Step 4: Simplify right side
    6,961.66x = 23,819,221.37
  5. Step 5: Solve for x
    x = 23,819,221.37/6,961.66
  6. Step 6: Final answer
    x = 3,421.49

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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.