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Finding the Fourth Proportional to 10,496.22, 14,471.34 and 8,600.82

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Solution

The fourth proportional to 10,496.22, 14,471.34 and 8,600.82 is: 11,858.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.22 : 14,471.34 = 8,600.82 : x
  2. Step 2: Convert to fraction form
    10,496.22/14,471.34 = 8,600.82/x
  3. Step 3: Cross multiply
    10,496.22x = 14,471.34 × 8,600.82
  4. Step 4: Simplify right side
    10,496.22x = 124,465,390.50
  5. Step 5: Solve for x
    x = 124,465,390.50/10,496.22
  6. Step 6: Final answer
    x = 11,858.12

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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.