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Finding the Fourth Proportional to 11,411.58, 17,103.24 and 6,466.23

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Solution

The fourth proportional to 11,411.58, 17,103.24 and 6,466.23 is: 9,691.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,411.58 : 17,103.24 = 6,466.23 : x
  2. Step 2: Convert to fraction form
    11,411.58/17,103.24 = 6,466.23/x
  3. Step 3: Cross multiply
    11,411.58x = 17,103.24 × 6,466.23
  4. Step 4: Simplify right side
    11,411.58x = 110,593,483.59
  5. Step 5: Solve for x
    x = 110,593,483.59/11,411.58
  6. Step 6: Final answer
    x = 9,691.34

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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.