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Finding the Fourth Proportional to 11,689.94, 17,540.04 and 6,141.98

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Solution

The fourth proportional to 11,689.94, 17,540.04 and 6,141.98 is: 9,215.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,689.94 : 17,540.04 = 6,141.98 : x
  2. Step 2: Convert to fraction form
    11,689.94/17,540.04 = 6,141.98/x
  3. Step 3: Cross multiply
    11,689.94x = 17,540.04 × 6,141.98
  4. Step 4: Simplify right side
    11,689.94x = 107,730,574.88
  5. Step 5: Solve for x
    x = 107,730,574.88/11,689.94
  6. Step 6: Final answer
    x = 9,215.67

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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.