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Finding the Fourth Proportional to 11,935.50, 16,470.99 and 7,223.46

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Solution

The fourth proportional to 11,935.50, 16,470.99 and 7,223.46 is: 9,968.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,935.50 : 16,470.99 = 7,223.46 : x
  2. Step 2: Convert to fraction form
    11,935.50/16,470.99 = 7,223.46/x
  3. Step 3: Cross multiply
    11,935.50x = 16,470.99 × 7,223.46
  4. Step 4: Simplify right side
    11,935.50x = 118,977,537.43
  5. Step 5: Solve for x
    x = 118,977,537.43/11,935.50
  6. Step 6: Final answer
    x = 9,968.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.