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Finding the Fourth Proportional to 11,712.96, 16,163.79 and 6,407.82

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Solution

The fourth proportional to 11,712.96, 16,163.79 and 6,407.82 is: 8,842.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712.96 : 16,163.79 = 6,407.82 : x
  2. Step 2: Convert to fraction form
    11,712.96/16,163.79 = 6,407.82/x
  3. Step 3: Cross multiply
    11,712.96x = 16,163.79 × 6,407.82
  4. Step 4: Simplify right side
    11,712.96x = 103,574,656.84
  5. Step 5: Solve for x
    x = 103,574,656.84/11,712.96
  6. Step 6: Final answer
    x = 8,842.74

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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.