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Finding the Fourth Proportional to 11,796.96, 16,280.94 and 6,492.78

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Solution

The fourth proportional to 11,796.96, 16,280.94 and 6,492.78 is: 8,960.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796.96 : 16,280.94 = 6,492.78 : x
  2. Step 2: Convert to fraction form
    11,796.96/16,280.94 = 6,492.78/x
  3. Step 3: Cross multiply
    11,796.96x = 16,280.94 × 6,492.78
  4. Step 4: Simplify right side
    11,796.96x = 105,708,561.61
  5. Step 5: Solve for x
    x = 105,708,561.61/11,796.96
  6. Step 6: Final answer
    x = 8,960.66

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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.