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Finding the Fourth Proportional to 11,789.46, 16,269.90 and 6,484.74

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Solution

The fourth proportional to 11,789.46, 16,269.90 and 6,484.74 is: 8,949.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,789.46 : 16,269.90 = 6,484.74 : x
  2. Step 2: Convert to fraction form
    11,789.46/16,269.90 = 6,484.74/x
  3. Step 3: Cross multiply
    11,789.46x = 16,269.90 × 6,484.74
  4. Step 4: Simplify right side
    11,789.46x = 105,506,071.33
  5. Step 5: Solve for x
    x = 105,506,071.33/11,789.46
  6. Step 6: Final answer
    x = 8,949.19

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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.