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Finding the Fourth Proportional to 7,352.82, 10,145.70 and 4,209.03

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Solution

The fourth proportional to 7,352.82, 10,145.70 and 4,209.03 is: 5,807.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,352.82 : 10,145.70 = 4,209.03 : x
  2. Step 2: Convert to fraction form
    7,352.82/10,145.70 = 4,209.03/x
  3. Step 3: Cross multiply
    7,352.82x = 10,145.70 × 4,209.03
  4. Step 4: Simplify right side
    7,352.82x = 42,703,555.67
  5. Step 5: Solve for x
    x = 42,703,555.67/7,352.82
  6. Step 6: Final answer
    x = 5,807.78

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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.