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Finding the Fourth Proportional to 10,420.31, 14,380.04 and 5,704.61

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Solution

The fourth proportional to 10,420.31, 14,380.04 and 5,704.61 is: 7,872.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.31 : 14,380.04 = 5,704.61 : x
  2. Step 2: Convert to fraction form
    10,420.31/14,380.04 = 5,704.61/x
  3. Step 3: Cross multiply
    10,420.31x = 14,380.04 × 5,704.61
  4. Step 4: Simplify right side
    10,420.31x = 82,032,462.35
  5. Step 5: Solve for x
    x = 82,032,462.35/10,420.31
  6. Step 6: Final answer
    x = 7,872.36

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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.