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Finding the Fourth Proportional to 10,487.64, 14,473.23 and 5,772.21

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Solution

The fourth proportional to 10,487.64, 14,473.23 and 5,772.21 is: 7,965.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,487.64 : 14,473.23 = 5,772.21 : x
  2. Step 2: Convert to fraction form
    10,487.64/14,473.23 = 5,772.21/x
  3. Step 3: Cross multiply
    10,487.64x = 14,473.23 × 5,772.21
  4. Step 4: Simplify right side
    10,487.64x = 83,542,522.94
  5. Step 5: Solve for x
    x = 83,542,522.94/10,487.64
  6. Step 6: Final answer
    x = 7,965.81

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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.