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Finding the Fourth Proportional to 11,900.68, 16,419.90 and 7,426.60

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Solution

The fourth proportional to 11,900.68, 16,419.90 and 7,426.60 is: 10,246.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,900.68 : 16,419.90 = 7,426.60 : x
  2. Step 2: Convert to fraction form
    11,900.68/16,419.90 = 7,426.60/x
  3. Step 3: Cross multiply
    11,900.68x = 16,419.90 × 7,426.60
  4. Step 4: Simplify right side
    11,900.68x = 121,944,029.34
  5. Step 5: Solve for x
    x = 121,944,029.34/11,900.68
  6. Step 6: Final answer
    x = 10,246.81

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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.