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Finding the Fourth Proportional to 11,794.60, 16,276.80 and 6,489.91

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Solution

The fourth proportional to 11,794.60, 16,276.80 and 6,489.91 is: 8,956.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,794.60 : 16,276.80 = 6,489.91 : x
  2. Step 2: Convert to fraction form
    11,794.60/16,276.80 = 6,489.91/x
  3. Step 3: Cross multiply
    11,794.60x = 16,276.80 × 6,489.91
  4. Step 4: Simplify right side
    11,794.60x = 105,634,967.09
  5. Step 5: Solve for x
    x = 105,634,967.09/11,794.60
  6. Step 6: Final answer
    x = 8,956.21

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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.