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Finding the Fourth Proportional to 11,712.99, 16,163.87 and 6,407.70

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Solution

The fourth proportional to 11,712.99, 16,163.87 and 6,407.70 is: 8,842.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712.99 : 16,163.87 = 6,407.70 : x
  2. Step 2: Convert to fraction form
    11,712.99/16,163.87 = 6,407.70/x
  3. Step 3: Cross multiply
    11,712.99x = 16,163.87 × 6,407.70
  4. Step 4: Simplify right side
    11,712.99x = 103,573,197.76
  5. Step 5: Solve for x
    x = 103,573,197.76/11,712.99
  6. Step 6: Final answer
    x = 8,842.59

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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.