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Finding the Fourth Proportional to 12,080.74, 16,667.40 and 7,302.15

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Solution

The fourth proportional to 12,080.74, 16,667.40 and 7,302.15 is: 10,074.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,080.74 : 16,667.40 = 7,302.15 : x
  2. Step 2: Convert to fraction form
    12,080.74/16,667.40 = 7,302.15/x
  3. Step 3: Cross multiply
    12,080.74x = 16,667.40 × 7,302.15
  4. Step 4: Simplify right side
    12,080.74x = 121,707,771.57
  5. Step 5: Solve for x
    x = 121,707,771.57/12,080.74
  6. Step 6: Final answer
    x = 10,074.53

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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.