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Finding the Fourth Proportional to 11,789.16, 16,269.04 and 6,483.94

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Solution

The fourth proportional to 11,789.16, 16,269.04 and 6,483.94 is: 8,947.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,789.16 : 16,269.04 = 6,483.94 : x
  2. Step 2: Convert to fraction form
    11,789.16/16,269.04 = 6,483.94/x
  3. Step 3: Cross multiply
    11,789.16x = 16,269.04 × 6,483.94
  4. Step 4: Simplify right side
    11,789.16x = 105,487,479.22
  5. Step 5: Solve for x
    x = 105,487,479.22/11,789.16
  6. Step 6: Final answer
    x = 8,947.84

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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.