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Finding the Fourth Proportional to 11,788.89, 16,269.30 and 6,484.20

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Solution

The fourth proportional to 11,788.89, 16,269.30 and 6,484.20 is: 8,948.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,788.89 : 16,269.30 = 6,484.20 : x
  2. Step 2: Convert to fraction form
    11,788.89/16,269.30 = 6,484.20/x
  3. Step 3: Cross multiply
    11,788.89x = 16,269.30 × 6,484.20
  4. Step 4: Simplify right side
    11,788.89x = 105,493,395.06
  5. Step 5: Solve for x
    x = 105,493,395.06/11,788.89
  6. Step 6: Final answer
    x = 8,948.54

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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.