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Finding the Fourth Proportional to 11,897.35, 16,418.46 and 6,592.24

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Solution

The fourth proportional to 11,897.35, 16,418.46 and 6,592.24 is: 9,097.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897.35 : 16,418.46 = 6,592.24 : x
  2. Step 2: Convert to fraction form
    11,897.35/16,418.46 = 6,592.24/x
  3. Step 3: Cross multiply
    11,897.35x = 16,418.46 × 6,592.24
  4. Step 4: Simplify right side
    11,897.35x = 108,234,428.75
  5. Step 5: Solve for x
    x = 108,234,428.75/11,897.35
  6. Step 6: Final answer
    x = 9,097.36

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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.