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Finding the Fourth Proportional to 11,672.72, 17,489.28 and 7,046

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Solution

The fourth proportional to 11,672.72, 17,489.28 and 7,046 is: 10,557.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,672.72 : 17,489.28 = 7,046 : x
  2. Step 2: Convert to fraction form
    11,672.72/17,489.28 = 7,046/x
  3. Step 3: Cross multiply
    11,672.72x = 17,489.28 × 7,046
  4. Step 4: Simplify right side
    11,672.72x = 123,229,466.88
  5. Step 5: Solve for x
    x = 123,229,466.88/11,672.72
  6. Step 6: Final answer
    x = 10,557.05

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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.