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Finding the Fourth Proportional to 11,464.32, 15,821.72 and 6,428.46

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Solution

The fourth proportional to 11,464.32, 15,821.72 and 6,428.46 is: 8,871.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.32 : 15,821.72 = 6,428.46 : x
  2. Step 2: Convert to fraction form
    11,464.32/15,821.72 = 6,428.46/x
  3. Step 3: Cross multiply
    11,464.32x = 15,821.72 × 6,428.46
  4. Step 4: Simplify right side
    11,464.32x = 101,709,294.15
  5. Step 5: Solve for x
    x = 101,709,294.15/11,464.32
  6. Step 6: Final answer
    x = 8,871.81

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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.