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Finding the Fourth Proportional to 11,497.85, 17,246.43 and 3,178.37

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Solution

The fourth proportional to 11,497.85, 17,246.43 and 3,178.37 is: 4,767.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497.85 : 17,246.43 = 3,178.37 : x
  2. Step 2: Convert to fraction form
    11,497.85/17,246.43 = 3,178.37/x
  3. Step 3: Cross multiply
    11,497.85x = 17,246.43 × 3,178.37
  4. Step 4: Simplify right side
    11,497.85x = 54,815,535.72
  5. Step 5: Solve for x
    x = 54,815,535.72/11,497.85
  6. Step 6: Final answer
    x = 4,767.46

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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.