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Finding the Fourth Proportional to 11,464.43, 15,821.31 and 6,428.71

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Solution

The fourth proportional to 11,464.43, 15,821.31 and 6,428.71 is: 8,871.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.43 : 15,821.31 = 6,428.71 : x
  2. Step 2: Convert to fraction form
    11,464.43/15,821.31 = 6,428.71/x
  3. Step 3: Cross multiply
    11,464.43x = 15,821.31 × 6,428.71
  4. Step 4: Simplify right side
    11,464.43x = 101,710,613.81
  5. Step 5: Solve for x
    x = 101,710,613.81/11,464.43
  6. Step 6: Final answer
    x = 8,871.84

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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.