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Finding the Fourth Proportional to 12,071.97, 16,659.87 and 7,537.32

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Solution

The fourth proportional to 12,071.97, 16,659.87 and 7,537.32 is: 10,401.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,071.97 : 16,659.87 = 7,537.32 : x
  2. Step 2: Convert to fraction form
    12,071.97/16,659.87 = 7,537.32/x
  3. Step 3: Cross multiply
    12,071.97x = 16,659.87 × 7,537.32
  4. Step 4: Simplify right side
    12,071.97x = 125,570,771.35
  5. Step 5: Solve for x
    x = 125,570,771.35/12,071.97
  6. Step 6: Final answer
    x = 10,401.85

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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.