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Finding the Fourth Proportional to 10,321.95, 14,230.49 and 8,204.51

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Solution

The fourth proportional to 10,321.95, 14,230.49 and 8,204.51 is: 11,311.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,321.95 : 14,230.49 = 8,204.51 : x
  2. Step 2: Convert to fraction form
    10,321.95/14,230.49 = 8,204.51/x
  3. Step 3: Cross multiply
    10,321.95x = 14,230.49 × 8,204.51
  4. Step 4: Simplify right side
    10,321.95x = 116,754,112.02
  5. Step 5: Solve for x
    x = 116,754,112.02/10,321.95
  6. Step 6: Final answer
    x = 11,311.25

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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.