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Finding the Fourth Proportional to 8,049.84, 11,107.70 and 4,513.12

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Solution

The fourth proportional to 8,049.84, 11,107.70 and 4,513.12 is: 6,227.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.84 : 11,107.70 = 4,513.12 : x
  2. Step 2: Convert to fraction form
    8,049.84/11,107.70 = 4,513.12/x
  3. Step 3: Cross multiply
    8,049.84x = 11,107.70 × 4,513.12
  4. Step 4: Simplify right side
    8,049.84x = 50,130,383.02
  5. Step 5: Solve for x
    x = 50,130,383.02/8,049.84
  6. Step 6: Final answer
    x = 6,227.50

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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.