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Finding the Fourth Proportional to 7,189.32, 10,776.42 and 2,806.68

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Solution

The fourth proportional to 7,189.32, 10,776.42 and 2,806.68 is: 4,207.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189.32 : 10,776.42 = 2,806.68 : x
  2. Step 2: Convert to fraction form
    7,189.32/10,776.42 = 2,806.68/x
  3. Step 3: Cross multiply
    7,189.32x = 10,776.42 × 2,806.68
  4. Step 4: Simplify right side
    7,189.32x = 30,245,962.49
  5. Step 5: Solve for x
    x = 30,245,962.49/7,189.32
  6. Step 6: Final answer
    x = 4,207.07

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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.