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Finding the Fourth Proportional to 11,897.26, 16,418.78 and 6,592.10

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Solution

The fourth proportional to 11,897.26, 16,418.78 and 6,592.10 is: 9,097.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897.26 : 16,418.78 = 6,592.10 : x
  2. Step 2: Convert to fraction form
    11,897.26/16,418.78 = 6,592.10/x
  3. Step 3: Cross multiply
    11,897.26x = 16,418.78 × 6,592.10
  4. Step 4: Simplify right side
    11,897.26x = 108,234,239.64
  5. Step 5: Solve for x
    x = 108,234,239.64/11,897.26
  6. Step 6: Final answer
    x = 9,097.41

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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.