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Finding the Fourth Proportional to 11,902.57, 16,428.81 and 7,423.63

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Solution

The fourth proportional to 11,902.57, 16,428.81 and 7,423.63 is: 10,246.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.57 : 16,428.81 = 7,423.63 : x
  2. Step 2: Convert to fraction form
    11,902.57/16,428.81 = 7,423.63/x
  3. Step 3: Cross multiply
    11,902.57x = 16,428.81 × 7,423.63
  4. Step 4: Simplify right side
    11,902.57x = 121,961,406.78
  5. Step 5: Solve for x
    x = 121,961,406.78/11,902.57
  6. Step 6: Final answer
    x = 10,246.64

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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.