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Finding the Fourth Proportional to 7,186.32, 10,780.29 and 3,290.22

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Solution

The fourth proportional to 7,186.32, 10,780.29 and 3,290.22 is: 4,935.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,186.32 : 10,780.29 = 3,290.22 : x
  2. Step 2: Convert to fraction form
    7,186.32/10,780.29 = 3,290.22/x
  3. Step 3: Cross multiply
    7,186.32x = 10,780.29 × 3,290.22
  4. Step 4: Simplify right side
    7,186.32x = 35,469,525.76
  5. Step 5: Solve for x
    x = 35,469,525.76/7,186.32
  6. Step 6: Final answer
    x = 4,935.70

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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.