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Finding the Fourth Proportional to 11,859.71, 17,752.66 and 7,467.94

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Solution

The fourth proportional to 11,859.71, 17,752.66 and 7,467.94 is: 11,178.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,859.71 : 17,752.66 = 7,467.94 : x
  2. Step 2: Convert to fraction form
    11,859.71/17,752.66 = 7,467.94/x
  3. Step 3: Cross multiply
    11,859.71x = 17,752.66 × 7,467.94
  4. Step 4: Simplify right side
    11,859.71x = 132,575,824.24
  5. Step 5: Solve for x
    x = 132,575,824.24/11,859.71
  6. Step 6: Final answer
    x = 11,178.67

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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.