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Finding the Fourth Proportional to 7,186.68, 10,780.33 and 2,507.16

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Solution

The fourth proportional to 7,186.68, 10,780.33 and 2,507.16 is: 3,760.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,186.68 : 10,780.33 = 2,507.16 : x
  2. Step 2: Convert to fraction form
    7,186.68/10,780.33 = 2,507.16/x
  3. Step 3: Cross multiply
    7,186.68x = 10,780.33 × 2,507.16
  4. Step 4: Simplify right side
    7,186.68x = 27,028,012.16
  5. Step 5: Solve for x
    x = 27,028,012.16/7,186.68
  6. Step 6: Final answer
    x = 3,760.85

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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.