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Finding the Fourth Proportional to 11,894.34, 16,413 and 6,589.02

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Solution

The fourth proportional to 11,894.34, 16,413 and 6,589.02 is: 9,092.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.34 : 16,413 = 6,589.02 : x
  2. Step 2: Convert to fraction form
    11,894.34/16,413 = 6,589.02/x
  3. Step 3: Cross multiply
    11,894.34x = 16,413 × 6,589.02
  4. Step 4: Simplify right side
    11,894.34x = 108,145,585.26
  5. Step 5: Solve for x
    x = 108,145,585.26/11,894.34
  6. Step 6: Final answer
    x = 9,092.19

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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.