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Finding the Fourth Proportional to 11,905.59, 16,429.06 and 6,599.99

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Solution

The fourth proportional to 11,905.59, 16,429.06 and 6,599.99 is: 9,107.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,905.59 : 16,429.06 = 6,599.99 : x
  2. Step 2: Convert to fraction form
    11,905.59/16,429.06 = 6,599.99/x
  3. Step 3: Cross multiply
    11,905.59x = 16,429.06 × 6,599.99
  4. Step 4: Simplify right side
    11,905.59x = 108,431,681.03
  5. Step 5: Solve for x
    x = 108,431,681.03/11,905.59
  6. Step 6: Final answer
    x = 9,107.62

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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.