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Finding the Fourth Proportional to 10,497.37, 14,487.70 and 6,021.03

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Solution

The fourth proportional to 10,497.37, 14,487.70 and 6,021.03 is: 8,309.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.37 : 14,487.70 = 6,021.03 : x
  2. Step 2: Convert to fraction form
    10,497.37/14,487.70 = 6,021.03/x
  3. Step 3: Cross multiply
    10,497.37x = 14,487.70 × 6,021.03
  4. Step 4: Simplify right side
    10,497.37x = 87,230,876.33
  5. Step 5: Solve for x
    x = 87,230,876.33/10,497.37
  6. Step 6: Final answer
    x = 8,309.78

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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.