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Finding the Fourth Proportional to 11,897.07, 16,418.07 and 6,592.11

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Solution

The fourth proportional to 11,897.07, 16,418.07 and 6,592.11 is: 9,097.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897.07 : 16,418.07 = 6,592.11 : x
  2. Step 2: Convert to fraction form
    11,897.07/16,418.07 = 6,592.11/x
  3. Step 3: Cross multiply
    11,897.07x = 16,418.07 × 6,592.11
  4. Step 4: Simplify right side
    11,897.07x = 108,229,723.43
  5. Step 5: Solve for x
    x = 108,229,723.43/11,897.07
  6. Step 6: Final answer
    x = 9,097.17

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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.