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Finding the Fourth Proportional to 7,882.12, 11,825.90 and 3,502.64

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Solution

The fourth proportional to 7,882.12, 11,825.90 and 3,502.64 is: 5,255.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.12 : 11,825.90 = 3,502.64 : x
  2. Step 2: Convert to fraction form
    7,882.12/11,825.90 = 3,502.64/x
  3. Step 3: Cross multiply
    7,882.12x = 11,825.90 × 3,502.64
  4. Step 4: Simplify right side
    7,882.12x = 41,421,870.38
  5. Step 5: Solve for x
    x = 41,421,870.38/7,882.12
  6. Step 6: Final answer
    x = 5,255.17

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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.