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Finding the Fourth Proportional to 10,553.26, 14,562.90 and 5,772.24

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Solution

The fourth proportional to 10,553.26, 14,562.90 and 5,772.24 is: 7,965.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,553.26 : 14,562.90 = 5,772.24 : x
  2. Step 2: Convert to fraction form
    10,553.26/14,562.90 = 5,772.24/x
  3. Step 3: Cross multiply
    10,553.26x = 14,562.90 × 5,772.24
  4. Step 4: Simplify right side
    10,553.26x = 84,060,525.03
  5. Step 5: Solve for x
    x = 84,060,525.03/10,553.26
  6. Step 6: Final answer
    x = 7,965.36

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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.