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Finding the Fourth Proportional to 11,712.94, 16,163.62 and 6,407.84

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Solution

The fourth proportional to 11,712.94, 16,163.62 and 6,407.84 is: 8,842.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712.94 : 16,163.62 = 6,407.84 : x
  2. Step 2: Convert to fraction form
    11,712.94/16,163.62 = 6,407.84/x
  3. Step 3: Cross multiply
    11,712.94x = 16,163.62 × 6,407.84
  4. Step 4: Simplify right side
    11,712.94x = 103,573,915.17
  5. Step 5: Solve for x
    x = 103,573,915.17/11,712.94
  6. Step 6: Final answer
    x = 8,842.69

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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.