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Finding the Fourth Proportional to 11,757.39, 16,225.54 and 6,452.56

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Solution

The fourth proportional to 11,757.39, 16,225.54 and 6,452.56 is: 8,904.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757.39 : 16,225.54 = 6,452.56 : x
  2. Step 2: Convert to fraction form
    11,757.39/16,225.54 = 6,452.56/x
  3. Step 3: Cross multiply
    11,757.39x = 16,225.54 × 6,452.56
  4. Step 4: Simplify right side
    11,757.39x = 104,696,270.38
  5. Step 5: Solve for x
    x = 104,696,270.38/11,757.39
  6. Step 6: Final answer
    x = 8,904.72

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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.