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Finding the Fourth Proportional to 11,896.95, 16,417.90 and 6,592.26

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Solution

The fourth proportional to 11,896.95, 16,417.90 and 6,592.26 is: 9,097.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.95 : 16,417.90 = 6,592.26 : x
  2. Step 2: Convert to fraction form
    11,896.95/16,417.90 = 6,592.26/x
  3. Step 3: Cross multiply
    11,896.95x = 16,417.90 × 6,592.26
  4. Step 4: Simplify right side
    11,896.95x = 108,231,065.45
  5. Step 5: Solve for x
    x = 108,231,065.45/11,896.95
  6. Step 6: Final answer
    x = 9,097.38

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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.