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Finding the Fourth Proportional to 11,464.54, 15,822.18 and 6,428.76

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Solution

The fourth proportional to 11,464.54, 15,822.18 and 6,428.76 is: 8,872.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.54 : 15,822.18 = 6,428.76 : x
  2. Step 2: Convert to fraction form
    11,464.54/15,822.18 = 6,428.76/x
  3. Step 3: Cross multiply
    11,464.54x = 15,822.18 × 6,428.76
  4. Step 4: Simplify right side
    11,464.54x = 101,716,997.90
  5. Step 5: Solve for x
    x = 101,716,997.90/11,464.54
  6. Step 6: Final answer
    x = 8,872.31

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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.