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Finding the Fourth Proportional to 11,294.49, 15,585.97 and 6,514.63

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Solution

The fourth proportional to 11,294.49, 15,585.97 and 6,514.63 is: 8,989.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,294.49 : 15,585.97 = 6,514.63 : x
  2. Step 2: Convert to fraction form
    11,294.49/15,585.97 = 6,514.63/x
  3. Step 3: Cross multiply
    11,294.49x = 15,585.97 × 6,514.63
  4. Step 4: Simplify right side
    11,294.49x = 101,536,872.38
  5. Step 5: Solve for x
    x = 101,536,872.38/11,294.49
  6. Step 6: Final answer
    x = 8,989.95

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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.