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Finding the Fourth Proportional to 11,498.92, 17,247.75 and 3,178.99

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Solution

The fourth proportional to 11,498.92, 17,247.75 and 3,178.99 is: 4,768.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,498.92 : 17,247.75 = 3,178.99 : x
  2. Step 2: Convert to fraction form
    11,498.92/17,247.75 = 3,178.99/x
  3. Step 3: Cross multiply
    11,498.92x = 17,247.75 × 3,178.99
  4. Step 4: Simplify right side
    11,498.92x = 54,830,424.77
  5. Step 5: Solve for x
    x = 54,830,424.77/11,498.92
  6. Step 6: Final answer
    x = 4,768.31

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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.