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Finding the Fourth Proportional to 11,664.88, 16,097.13 and 6,629.01

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Solution

The fourth proportional to 11,664.88, 16,097.13 and 6,629.01 is: 9,147.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,664.88 : 16,097.13 = 6,629.01 : x
  2. Step 2: Convert to fraction form
    11,664.88/16,097.13 = 6,629.01/x
  3. Step 3: Cross multiply
    11,664.88x = 16,097.13 × 6,629.01
  4. Step 4: Simplify right side
    11,664.88x = 106,707,975.38
  5. Step 5: Solve for x
    x = 106,707,975.38/11,664.88
  6. Step 6: Final answer
    x = 9,147.80

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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.