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Finding the Fourth Proportional to 11,742.66, 16,207.94 and 7,263.81

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Solution

The fourth proportional to 11,742.66, 16,207.94 and 7,263.81 is: 10,025.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,742.66 : 16,207.94 = 7,263.81 : x
  2. Step 2: Convert to fraction form
    11,742.66/16,207.94 = 7,263.81/x
  3. Step 3: Cross multiply
    11,742.66x = 16,207.94 × 7,263.81
  4. Step 4: Simplify right side
    11,742.66x = 117,731,360.33
  5. Step 5: Solve for x
    x = 117,731,360.33/11,742.66
  6. Step 6: Final answer
    x = 10,025.95

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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.