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Finding the Fourth Proportional to 11,464.56, 15,820.94 and 6,428.78

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Solution

The fourth proportional to 11,464.56, 15,820.94 and 6,428.78 is: 8,871.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.56 : 15,820.94 = 6,428.78 : x
  2. Step 2: Convert to fraction form
    11,464.56/15,820.94 = 6,428.78/x
  3. Step 3: Cross multiply
    11,464.56x = 15,820.94 × 6,428.78
  4. Step 4: Simplify right side
    11,464.56x = 101,709,231.40
  5. Step 5: Solve for x
    x = 101,709,231.40/11,464.56
  6. Step 6: Final answer
    x = 8,871.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.