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Finding the Fourth Proportional to 11,896.70, 16,417.77 and 6,592.10

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Solution

The fourth proportional to 11,896.70, 16,417.77 and 6,592.10 is: 9,097.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.70 : 16,417.77 = 6,592.10 : x
  2. Step 2: Convert to fraction form
    11,896.70/16,417.77 = 6,592.10/x
  3. Step 3: Cross multiply
    11,896.70x = 16,417.77 × 6,592.10
  4. Step 4: Simplify right side
    11,896.70x = 108,227,581.62
  5. Step 5: Solve for x
    x = 108,227,581.62/11,896.70
  6. Step 6: Final answer
    x = 9,097.28

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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.