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Finding the Fourth Proportional to 7,186.60, 10,780.36 and 2,256.44

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Solution

The fourth proportional to 7,186.60, 10,780.36 and 2,256.44 is: 3,384.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,186.60 : 10,780.36 = 2,256.44 : x
  2. Step 2: Convert to fraction form
    7,186.60/10,780.36 = 2,256.44/x
  3. Step 3: Cross multiply
    7,186.60x = 10,780.36 × 2,256.44
  4. Step 4: Simplify right side
    7,186.60x = 24,325,235.52
  5. Step 5: Solve for x
    x = 24,325,235.52/7,186.60
  6. Step 6: Final answer
    x = 3,384.80

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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.