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Finding the Fourth Proportional to 11,789, 16,268.82 and 6,484.16

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Solution

The fourth proportional to 11,789, 16,268.82 and 6,484.16 is: 8,948.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,789 : 16,268.82 = 6,484.16 : x
  2. Step 2: Convert to fraction form
    11,789/16,268.82 = 6,484.16/x
  3. Step 3: Cross multiply
    11,789x = 16,268.82 × 6,484.16
  4. Step 4: Simplify right side
    11,789x = 105,489,631.89
  5. Step 5: Solve for x
    x = 105,489,631.89/11,789
  6. Step 6: Final answer
    x = 8,948.14

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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.