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Finding the Fourth Proportional to 11,711.33, 17,538.85 and 6,698.52

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Solution

The fourth proportional to 11,711.33, 17,538.85 and 6,698.52 is: 10,031.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,711.33 : 17,538.85 = 6,698.52 : x
  2. Step 2: Convert to fraction form
    11,711.33/17,538.85 = 6,698.52/x
  3. Step 3: Cross multiply
    11,711.33x = 17,538.85 × 6,698.52
  4. Step 4: Simplify right side
    11,711.33x = 117,484,292.66
  5. Step 5: Solve for x
    x = 117,484,292.66/11,711.33
  6. Step 6: Final answer
    x = 10,031.67

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