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Finding the Fourth Proportional to 11,904.65, 17,857.22 and 4,007.40

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Solution

The fourth proportional to 11,904.65, 17,857.22 and 4,007.40 is: 6,011.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,904.65 : 17,857.22 = 4,007.40 : x
  2. Step 2: Convert to fraction form
    11,904.65/17,857.22 = 4,007.40/x
  3. Step 3: Cross multiply
    11,904.65x = 17,857.22 × 4,007.40
  4. Step 4: Simplify right side
    11,904.65x = 71,561,023.43
  5. Step 5: Solve for x
    x = 71,561,023.43/11,904.65
  6. Step 6: Final answer
    x = 6,011.18

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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.