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Finding the Fourth Proportional to 11,491.34, 17,234.98 and 3,170.00

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Solution

The fourth proportional to 11,491.34, 17,234.98 and 3,170.00 is: 4,754.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,491.34 : 17,234.98 = 3,170.00 : x
  2. Step 2: Convert to fraction form
    11,491.34/17,234.98 = 3,170.00/x
  3. Step 3: Cross multiply
    11,491.34x = 17,234.98 × 3,170.00
  4. Step 4: Simplify right side
    11,491.34x = 54,634,921.76
  5. Step 5: Solve for x
    x = 54,634,921.76/11,491.34
  6. Step 6: Final answer
    x = 4,754.45

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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.