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Finding the Fourth Proportional to 11,916.99, 16,446.51 and 7,201.17

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Solution

The fourth proportional to 11,916.99, 16,446.51 and 7,201.17 is: 9,938.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,916.99 : 16,446.51 = 7,201.17 : x
  2. Step 2: Convert to fraction form
    11,916.99/16,446.51 = 7,201.17/x
  3. Step 3: Cross multiply
    11,916.99x = 16,446.51 × 7,201.17
  4. Step 4: Simplify right side
    11,916.99x = 118,434,114.42
  5. Step 5: Solve for x
    x = 118,434,114.42/11,916.99
  6. Step 6: Final answer
    x = 9,938.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.