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Finding the Fourth Proportional to 11,946.70, 16,475.43 and 7,469.02

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Solution

The fourth proportional to 11,946.70, 16,475.43 and 7,469.02 is: 10,300.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,946.70 : 16,475.43 = 7,469.02 : x
  2. Step 2: Convert to fraction form
    11,946.70/16,475.43 = 7,469.02/x
  3. Step 3: Cross multiply
    11,946.70x = 16,475.43 × 7,469.02
  4. Step 4: Simplify right side
    11,946.70x = 123,055,316.18
  5. Step 5: Solve for x
    x = 123,055,316.18/11,946.70
  6. Step 6: Final answer
    x = 10,300.36

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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.