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Finding the Fourth Proportional to 10,498.44, 14,487.31 and 6,519.47

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Solution

The fourth proportional to 10,498.44, 14,487.31 and 6,519.47 is: 8,996.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498.44 : 14,487.31 = 6,519.47 : x
  2. Step 2: Convert to fraction form
    10,498.44/14,487.31 = 6,519.47/x
  3. Step 3: Cross multiply
    10,498.44x = 14,487.31 × 6,519.47
  4. Step 4: Simplify right side
    10,498.44x = 94,449,563.46
  5. Step 5: Solve for x
    x = 94,449,563.46/10,498.44
  6. Step 6: Final answer
    x = 8,996.53

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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.