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Finding the Fourth Proportional to 7,312.65, 10,974.69 and 2,932.98

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Solution

The fourth proportional to 7,312.65, 10,974.69 and 2,932.98 is: 4,401.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,312.65 : 10,974.69 = 2,932.98 : x
  2. Step 2: Convert to fraction form
    7,312.65/10,974.69 = 2,932.98/x
  3. Step 3: Cross multiply
    7,312.65x = 10,974.69 × 2,932.98
  4. Step 4: Simplify right side
    7,312.65x = 32,188,546.28
  5. Step 5: Solve for x
    x = 32,188,546.28/7,312.65
  6. Step 6: Final answer
    x = 4,401.76

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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.