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Finding the Fourth Proportional to 7,186.14, 10,779.21 and 2,256.21

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Solution

The fourth proportional to 7,186.14, 10,779.21 and 2,256.21 is: 3,384.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,186.14 : 10,779.21 = 2,256.21 : x
  2. Step 2: Convert to fraction form
    7,186.14/10,779.21 = 2,256.21/x
  3. Step 3: Cross multiply
    7,186.14x = 10,779.21 × 2,256.21
  4. Step 4: Simplify right side
    7,186.14x = 24,320,161.39
  5. Step 5: Solve for x
    x = 24,320,161.39/7,186.14
  6. Step 6: Final answer
    x = 3,384.32

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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.