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Finding the Fourth Proportional to 7,186.52, 10,779.78 and 2,256.59

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Solution

The fourth proportional to 7,186.52, 10,779.78 and 2,256.59 is: 3,384.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,186.52 : 10,779.78 = 2,256.59 : x
  2. Step 2: Convert to fraction form
    7,186.52/10,779.78 = 2,256.59/x
  3. Step 3: Cross multiply
    7,186.52x = 10,779.78 × 2,256.59
  4. Step 4: Simplify right side
    7,186.52x = 24,325,489.85
  5. Step 5: Solve for x
    x = 24,325,489.85/7,186.52
  6. Step 6: Final answer
    x = 3,384.88

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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.