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Finding the Fourth Proportional to 11,466.21, 15,826.65 and 6,753.23

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Solution

The fourth proportional to 11,466.21, 15,826.65 and 6,753.23 is: 9,321.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,466.21 : 15,826.65 = 6,753.23 : x
  2. Step 2: Convert to fraction form
    11,466.21/15,826.65 = 6,753.23/x
  3. Step 3: Cross multiply
    11,466.21x = 15,826.65 × 6,753.23
  4. Step 4: Simplify right side
    11,466.21x = 106,881,007.58
  5. Step 5: Solve for x
    x = 106,881,007.58/11,466.21
  6. Step 6: Final answer
    x = 9,321.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.