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Finding the Fourth Proportional to 11,789.98, 16,269.56 and 6,483.76

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Solution

The fourth proportional to 11,789.98, 16,269.56 and 6,483.76 is: 8,947.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,789.98 : 16,269.56 = 6,483.76 : x
  2. Step 2: Convert to fraction form
    11,789.98/16,269.56 = 6,483.76/x
  3. Step 3: Cross multiply
    11,789.98x = 16,269.56 × 6,483.76
  4. Step 4: Simplify right side
    11,789.98x = 105,487,922.35
  5. Step 5: Solve for x
    x = 105,487,922.35/11,789.98
  6. Step 6: Final answer
    x = 8,947.25

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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.