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Finding the Fourth Proportional to 7,133.68, 10,705.14 and 3,849.04

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Solution

The fourth proportional to 7,133.68, 10,705.14 and 3,849.04 is: 5,776.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.68 : 10,705.14 = 3,849.04 : x
  2. Step 2: Convert to fraction form
    7,133.68/10,705.14 = 3,849.04/x
  3. Step 3: Cross multiply
    7,133.68x = 10,705.14 × 3,849.04
  4. Step 4: Simplify right side
    7,133.68x = 41,204,512.07
  5. Step 5: Solve for x
    x = 41,204,512.07/7,133.68
  6. Step 6: Final answer
    x = 5,776.05

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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.