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Finding the Fourth Proportional to 7,610.46, 11,416.40 and 2,992.38

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Solution

The fourth proportional to 7,610.46, 11,416.40 and 2,992.38 is: 4,488.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,610.46 : 11,416.40 = 2,992.38 : x
  2. Step 2: Convert to fraction form
    7,610.46/11,416.40 = 2,992.38/x
  3. Step 3: Cross multiply
    7,610.46x = 11,416.40 × 2,992.38
  4. Step 4: Simplify right side
    7,610.46x = 34,162,207.03
  5. Step 5: Solve for x
    x = 34,162,207.03/7,610.46
  6. Step 6: Final answer
    x = 4,488.85

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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.