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Finding the Fourth Proportional to 10,573.99, 14,592.10 and 5,794.24

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Solution

The fourth proportional to 10,573.99, 14,592.10 and 5,794.24 is: 7,996.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.99 : 14,592.10 = 5,794.24 : x
  2. Step 2: Convert to fraction form
    10,573.99/14,592.10 = 5,794.24/x
  3. Step 3: Cross multiply
    10,573.99x = 14,592.10 × 5,794.24
  4. Step 4: Simplify right side
    10,573.99x = 84,550,027.57
  5. Step 5: Solve for x
    x = 84,550,027.57/10,573.99
  6. Step 6: Final answer
    x = 7,996.04

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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.