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Finding the Fourth Proportional to 10,512.44, 14,506.47 and 5,797.04

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Solution

The fourth proportional to 10,512.44, 14,506.47 and 5,797.04 is: 7,999.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512.44 : 14,506.47 = 5,797.04 : x
  2. Step 2: Convert to fraction form
    10,512.44/14,506.47 = 5,797.04/x
  3. Step 3: Cross multiply
    10,512.44x = 14,506.47 × 5,797.04
  4. Step 4: Simplify right side
    10,512.44x = 84,094,586.85
  5. Step 5: Solve for x
    x = 84,094,586.85/10,512.44
  6. Step 6: Final answer
    x = 7,999.53

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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.