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Finding the Fourth Proportional to 6,935.96, 10,404.96 and 2,553.05

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Solution

The fourth proportional to 6,935.96, 10,404.96 and 2,553.05 is: 3,829.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,935.96 : 10,404.96 = 2,553.05 : x
  2. Step 2: Convert to fraction form
    6,935.96/10,404.96 = 2,553.05/x
  3. Step 3: Cross multiply
    6,935.96x = 10,404.96 × 2,553.05
  4. Step 4: Simplify right side
    6,935.96x = 26,564,409.14
  5. Step 5: Solve for x
    x = 26,564,409.14/6,935.96
  6. Step 6: Final answer
    x = 3,829.95

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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.