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Finding the Fourth Proportional to 12,085.60, 18,128.40 and 7,152.70

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Solution

The fourth proportional to 12,085.60, 18,128.40 and 7,152.70 is: 10,729.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,085.60 : 18,128.40 = 7,152.70 : x
  2. Step 2: Convert to fraction form
    12,085.60/18,128.40 = 7,152.70/x
  3. Step 3: Cross multiply
    12,085.60x = 18,128.40 × 7,152.70
  4. Step 4: Simplify right side
    12,085.60x = 129,667,006.68
  5. Step 5: Solve for x
    x = 129,667,006.68/12,085.60
  6. Step 6: Final answer
    x = 10,729.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.