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Finding the Fourth Proportional to 11,712.69, 16,163.48 and 6,407.46

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Solution

The fourth proportional to 11,712.69, 16,163.48 and 6,407.46 is: 8,842.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712.69 : 16,163.48 = 6,407.46 : x
  2. Step 2: Convert to fraction form
    11,712.69/16,163.48 = 6,407.46/x
  3. Step 3: Cross multiply
    11,712.69x = 16,163.48 × 6,407.46
  4. Step 4: Simplify right side
    11,712.69x = 103,566,867.58
  5. Step 5: Solve for x
    x = 103,566,867.58/11,712.69
  6. Step 6: Final answer
    x = 8,842.28

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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.