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Finding the Fourth Proportional to 6,903.12, 10,354.56 and 2,286

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Solution

The fourth proportional to 6,903.12, 10,354.56 and 2,286 is: 3,428.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,903.12 : 10,354.56 = 2,286 : x
  2. Step 2: Convert to fraction form
    6,903.12/10,354.56 = 2,286/x
  3. Step 3: Cross multiply
    6,903.12x = 10,354.56 × 2,286
  4. Step 4: Simplify right side
    6,903.12x = 23,670,524.16
  5. Step 5: Solve for x
    x = 23,670,524.16/6,903.12
  6. Step 6: Final answer
    x = 3,428.96

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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.