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Finding the Fourth Proportional to 8,438.24, 11,641.20 and 5,644.64

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Solution

The fourth proportional to 8,438.24, 11,641.20 and 5,644.64 is: 7,787.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.24 : 11,641.20 = 5,644.64 : x
  2. Step 2: Convert to fraction form
    8,438.24/11,641.20 = 5,644.64/x
  3. Step 3: Cross multiply
    8,438.24x = 11,641.20 × 5,644.64
  4. Step 4: Simplify right side
    8,438.24x = 65,710,383.17
  5. Step 5: Solve for x
    x = 65,710,383.17/8,438.24
  6. Step 6: Final answer
    x = 7,787.21

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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.