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Finding the Fourth Proportional to 7,680.84, 11,519.12 and 2,133.77

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Solution

The fourth proportional to 7,680.84, 11,519.12 and 2,133.77 is: 3,200.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,680.84 : 11,519.12 = 2,133.77 : x
  2. Step 2: Convert to fraction form
    7,680.84/11,519.12 = 2,133.77/x
  3. Step 3: Cross multiply
    7,680.84x = 11,519.12 × 2,133.77
  4. Step 4: Simplify right side
    7,680.84x = 24,579,084.42
  5. Step 5: Solve for x
    x = 24,579,084.42/7,680.84
  6. Step 6: Final answer
    x = 3,200.05

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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.