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Finding the Fourth Proportional to 11,713.12, 16,163.92 and 6,407.84

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Solution

The fourth proportional to 11,713.12, 16,163.92 and 6,407.84 is: 8,842.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713.12 : 16,163.92 = 6,407.84 : x
  2. Step 2: Convert to fraction form
    11,713.12/16,163.92 = 6,407.84/x
  3. Step 3: Cross multiply
    11,713.12x = 16,163.92 × 6,407.84
  4. Step 4: Simplify right side
    11,713.12x = 103,575,813.13
  5. Step 5: Solve for x
    x = 103,575,813.13/11,713.12
  6. Step 6: Final answer
    x = 8,842.72

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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.