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Finding the Fourth Proportional to 11,642.28, 17,467.98 and 6,709.23

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Solution

The fourth proportional to 11,642.28, 17,467.98 and 6,709.23 is: 10,066.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642.28 : 17,467.98 = 6,709.23 : x
  2. Step 2: Convert to fraction form
    11,642.28/17,467.98 = 6,709.23/x
  3. Step 3: Cross multiply
    11,642.28x = 17,467.98 × 6,709.23
  4. Step 4: Simplify right side
    11,642.28x = 117,196,689.17
  5. Step 5: Solve for x
    x = 117,196,689.17/11,642.28
  6. Step 6: Final answer
    x = 10,066.47

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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.