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Finding the Fourth Proportional to 11,937.94, 16,475.87 and 7,222.25

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Solution

The fourth proportional to 11,937.94, 16,475.87 and 7,222.25 is: 9,967.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,937.94 : 16,475.87 = 7,222.25 : x
  2. Step 2: Convert to fraction form
    11,937.94/16,475.87 = 7,222.25/x
  3. Step 3: Cross multiply
    11,937.94x = 16,475.87 × 7,222.25
  4. Step 4: Simplify right side
    11,937.94x = 118,992,911.35
  5. Step 5: Solve for x
    x = 118,992,911.35/11,937.94
  6. Step 6: Final answer
    x = 9,967.63

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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.