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Finding the Fourth Proportional to 11,466.27, 15,826.27 and 6,992.49

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Solution

The fourth proportional to 11,466.27, 15,826.27 and 6,992.49 is: 9,651.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,466.27 : 15,826.27 = 6,992.49 : x
  2. Step 2: Convert to fraction form
    11,466.27/15,826.27 = 6,992.49/x
  3. Step 3: Cross multiply
    11,466.27x = 15,826.27 × 6,992.49
  4. Step 4: Simplify right side
    11,466.27x = 110,665,034.71
  5. Step 5: Solve for x
    x = 110,665,034.71/11,466.27
  6. Step 6: Final answer
    x = 9,651.35

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