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Finding the Fourth Proportional to 10,498.41, 14,487.24 and 6,021.94

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Solution

The fourth proportional to 10,498.41, 14,487.24 and 6,021.94 is: 8,309.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498.41 : 14,487.24 = 6,021.94 : x
  2. Step 2: Convert to fraction form
    10,498.41/14,487.24 = 6,021.94/x
  3. Step 3: Cross multiply
    10,498.41x = 14,487.24 × 6,021.94
  4. Step 4: Simplify right side
    10,498.41x = 87,241,290.05
  5. Step 5: Solve for x
    x = 87,241,290.05/10,498.41
  6. Step 6: Final answer
    x = 8,309.95

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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.