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Finding the Fourth Proportional to 8,438.31, 11,644.89 and 4,661.40

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Solution

The fourth proportional to 8,438.31, 11,644.89 and 4,661.40 is: 6,432.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.31 : 11,644.89 = 4,661.40 : x
  2. Step 2: Convert to fraction form
    8,438.31/11,644.89 = 4,661.40/x
  3. Step 3: Cross multiply
    8,438.31x = 11,644.89 × 4,661.40
  4. Step 4: Simplify right side
    8,438.31x = 54,281,490.25
  5. Step 5: Solve for x
    x = 54,281,490.25/8,438.31
  6. Step 6: Final answer
    x = 6,432.74

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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.