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Finding the Fourth Proportional to 7,186.41, 10,779.60 and 2,256.42

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Solution

The fourth proportional to 7,186.41, 10,779.60 and 2,256.42 is: 3,384.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,186.41 : 10,779.60 = 2,256.42 : x
  2. Step 2: Convert to fraction form
    7,186.41/10,779.60 = 2,256.42/x
  3. Step 3: Cross multiply
    7,186.41x = 10,779.60 × 2,256.42
  4. Step 4: Simplify right side
    7,186.41x = 24,323,305.03
  5. Step 5: Solve for x
    x = 24,323,305.03/7,186.41
  6. Step 6: Final answer
    x = 3,384.63

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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.