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Finding the Fourth Proportional to 11,889.36, 16,414.56 and 7,916.40

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Solution

The fourth proportional to 11,889.36, 16,414.56 and 7,916.40 is: 10,929.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,889.36 : 16,414.56 = 7,916.40 : x
  2. Step 2: Convert to fraction form
    11,889.36/16,414.56 = 7,916.40/x
  3. Step 3: Cross multiply
    11,889.36x = 16,414.56 × 7,916.40
  4. Step 4: Simplify right side
    11,889.36x = 129,944,222.78
  5. Step 5: Solve for x
    x = 129,944,222.78/11,889.36
  6. Step 6: Final answer
    x = 10,929.45

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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.