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Finding the Fourth Proportional to 11,809.76, 16,297.27 and 6,505.07

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Solution

The fourth proportional to 11,809.76, 16,297.27 and 6,505.07 is: 8,976.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809.76 : 16,297.27 = 6,505.07 : x
  2. Step 2: Convert to fraction form
    11,809.76/16,297.27 = 6,505.07/x
  3. Step 3: Cross multiply
    11,809.76x = 16,297.27 × 6,505.07
  4. Step 4: Simplify right side
    11,809.76x = 106,014,784.41
  5. Step 5: Solve for x
    x = 106,014,784.41/11,809.76
  6. Step 6: Final answer
    x = 8,976.88

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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.