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Finding the Fourth Proportional to 7,682.65, 11,526.05 and 2,753.70

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Solution

The fourth proportional to 7,682.65, 11,526.05 and 2,753.70 is: 4,131.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.65 : 11,526.05 = 2,753.70 : x
  2. Step 2: Convert to fraction form
    7,682.65/11,526.05 = 2,753.70/x
  3. Step 3: Cross multiply
    7,682.65x = 11,526.05 × 2,753.70
  4. Step 4: Simplify right side
    7,682.65x = 31,739,283.89
  5. Step 5: Solve for x
    x = 31,739,283.89/7,682.65
  6. Step 6: Final answer
    x = 4,131.29

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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.