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Finding the Fourth Proportional to 6,503.28, 9,755.92 and 2,119.68

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Solution

The fourth proportional to 6,503.28, 9,755.92 and 2,119.68 is: 3,179.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.28 : 9,755.92 = 2,119.68 : x
  2. Step 2: Convert to fraction form
    6,503.28/9,755.92 = 2,119.68/x
  3. Step 3: Cross multiply
    6,503.28x = 9,755.92 × 2,119.68
  4. Step 4: Simplify right side
    6,503.28x = 20,679,428.51
  5. Step 5: Solve for x
    x = 20,679,428.51/6,503.28
  6. Step 6: Final answer
    x = 3,179.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.