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Finding the Fourth Proportional to 11,789.66, 16,269.59 and 6,484.37

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Solution

The fourth proportional to 11,789.66, 16,269.59 and 6,484.37 is: 8,948.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,789.66 : 16,269.59 = 6,484.37 : x
  2. Step 2: Convert to fraction form
    11,789.66/16,269.59 = 6,484.37/x
  3. Step 3: Cross multiply
    11,789.66x = 16,269.59 × 6,484.37
  4. Step 4: Simplify right side
    11,789.66x = 105,497,959.96
  5. Step 5: Solve for x
    x = 105,497,959.96/11,789.66
  6. Step 6: Final answer
    x = 8,948.35

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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.