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Finding the Fourth Proportional to 11,720.94, 16,172.31 and 6,938.49

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Solution

The fourth proportional to 11,720.94, 16,172.31 and 6,938.49 is: 9,573.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,720.94 : 16,172.31 = 6,938.49 : x
  2. Step 2: Convert to fraction form
    11,720.94/16,172.31 = 6,938.49/x
  3. Step 3: Cross multiply
    11,720.94x = 16,172.31 × 6,938.49
  4. Step 4: Simplify right side
    11,720.94x = 112,211,411.21
  5. Step 5: Solve for x
    x = 112,211,411.21/11,720.94
  6. Step 6: Final answer
    x = 9,573.58

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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.