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Finding the Fourth Proportional to 11,706.54, 16,150.50 and 7,222.50

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Solution

The fourth proportional to 11,706.54, 16,150.50 and 7,222.50 is: 9,964.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.54 : 16,150.50 = 7,222.50 : x
  2. Step 2: Convert to fraction form
    11,706.54/16,150.50 = 7,222.50/x
  3. Step 3: Cross multiply
    11,706.54x = 16,150.50 × 7,222.50
  4. Step 4: Simplify right side
    11,706.54x = 116,646,986.25
  5. Step 5: Solve for x
    x = 116,646,986.25/11,706.54
  6. Step 6: Final answer
    x = 9,964.26

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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.