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Finding the Fourth Proportional to 11,673.87, 16,097.16 and 7,890.46

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Solution

The fourth proportional to 11,673.87, 16,097.16 and 7,890.46 is: 10,880.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,673.87 : 16,097.16 = 7,890.46 : x
  2. Step 2: Convert to fraction form
    11,673.87/16,097.16 = 7,890.46/x
  3. Step 3: Cross multiply
    11,673.87x = 16,097.16 × 7,890.46
  4. Step 4: Simplify right side
    11,673.87x = 127,013,997.09
  5. Step 5: Solve for x
    x = 127,013,997.09/11,673.87
  6. Step 6: Final answer
    x = 10,880.20

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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.