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Finding the Fourth Proportional to 11,712.60, 16,163.38 and 6,407.45

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Solution

The fourth proportional to 11,712.60, 16,163.38 and 6,407.45 is: 8,842.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712.60 : 16,163.38 = 6,407.45 : x
  2. Step 2: Convert to fraction form
    11,712.60/16,163.38 = 6,407.45/x
  3. Step 3: Cross multiply
    11,712.60x = 16,163.38 × 6,407.45
  4. Step 4: Simplify right side
    11,712.60x = 103,566,049.18
  5. Step 5: Solve for x
    x = 103,566,049.18/11,712.60
  6. Step 6: Final answer
    x = 8,842.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.