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Finding the Fourth Proportional to 10,519.52, 14,517.02 and 5,803.97

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Solution

The fourth proportional to 10,519.52, 14,517.02 and 5,803.97 is: 8,009.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,519.52 : 14,517.02 = 5,803.97 : x
  2. Step 2: Convert to fraction form
    10,519.52/14,517.02 = 5,803.97/x
  3. Step 3: Cross multiply
    10,519.52x = 14,517.02 × 5,803.97
  4. Step 4: Simplify right side
    10,519.52x = 84,256,319.55
  5. Step 5: Solve for x
    x = 84,256,319.55/10,519.52
  6. Step 6: Final answer
    x = 8,009.52

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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.