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Finding the Fourth Proportional to 11,913.09, 17,857.02 and 4,008.08

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Solution

The fourth proportional to 11,913.09, 17,857.02 and 4,008.08 is: 6,007.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,913.09 : 17,857.02 = 4,008.08 : x
  2. Step 2: Convert to fraction form
    11,913.09/17,857.02 = 4,008.08/x
  3. Step 3: Cross multiply
    11,913.09x = 17,857.02 × 4,008.08
  4. Step 4: Simplify right side
    11,913.09x = 71,572,364.72
  5. Step 5: Solve for x
    x = 71,572,364.72/11,913.09
  6. Step 6: Final answer
    x = 6,007.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.