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Finding the Fourth Proportional to 11,804, 16,291.68 and 8,272.48

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Solution

The fourth proportional to 11,804, 16,291.68 and 8,272.48 is: 11,417.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,804 : 16,291.68 = 8,272.48 : x
  2. Step 2: Convert to fraction form
    11,804/16,291.68 = 8,272.48/x
  3. Step 3: Cross multiply
    11,804x = 16,291.68 × 8,272.48
  4. Step 4: Simplify right side
    11,804x = 134,772,596.97
  5. Step 5: Solve for x
    x = 134,772,596.97/11,804
  6. Step 6: Final answer
    x = 11,417.54

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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.