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Finding the Fourth Proportional to 6,967.40, 10,452.47 and 3,071.84

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Solution

The fourth proportional to 6,967.40, 10,452.47 and 3,071.84 is: 4,608.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.40 : 10,452.47 = 3,071.84 : x
  2. Step 2: Convert to fraction form
    6,967.40/10,452.47 = 3,071.84/x
  3. Step 3: Cross multiply
    6,967.40x = 10,452.47 × 3,071.84
  4. Step 4: Simplify right side
    6,967.40x = 32,108,247.82
  5. Step 5: Solve for x
    x = 32,108,247.82/6,967.40
  6. Step 6: Final answer
    x = 4,608.36

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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.