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Finding the Fourth Proportional to 11,773.76, 16,247.79 and 6,468.96

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Solution

The fourth proportional to 11,773.76, 16,247.79 and 6,468.96 is: 8,927.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,773.76 : 16,247.79 = 6,468.96 : x
  2. Step 2: Convert to fraction form
    11,773.76/16,247.79 = 6,468.96/x
  3. Step 3: Cross multiply
    11,773.76x = 16,247.79 × 6,468.96
  4. Step 4: Simplify right side
    11,773.76x = 105,106,364.53
  5. Step 5: Solve for x
    x = 105,106,364.53/11,773.76
  6. Step 6: Final answer
    x = 8,927.17

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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.