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Finding the Fourth Proportional to 11,881.14, 17,808.51 and 6,025.65

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Solution

The fourth proportional to 11,881.14, 17,808.51 and 6,025.65 is: 9,031.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,881.14 : 17,808.51 = 6,025.65 : x
  2. Step 2: Convert to fraction form
    11,881.14/17,808.51 = 6,025.65/x
  3. Step 3: Cross multiply
    11,881.14x = 17,808.51 × 6,025.65
  4. Step 4: Simplify right side
    11,881.14x = 107,307,848.28
  5. Step 5: Solve for x
    x = 107,307,848.28/11,881.14
  6. Step 6: Final answer
    x = 9,031.78

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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.