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Finding the Fourth Proportional to 10,563.96, 14,575.50 and 6,369.24

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Solution

The fourth proportional to 10,563.96, 14,575.50 and 6,369.24 is: 8,787.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563.96 : 14,575.50 = 6,369.24 : x
  2. Step 2: Convert to fraction form
    10,563.96/14,575.50 = 6,369.24/x
  3. Step 3: Cross multiply
    10,563.96x = 14,575.50 × 6,369.24
  4. Step 4: Simplify right side
    10,563.96x = 92,834,857.62
  5. Step 5: Solve for x
    x = 92,834,857.62/10,563.96
  6. Step 6: Final answer
    x = 8,787.88

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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.