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Finding the Fourth Proportional to 7,732.53, 11,599.70 and 2,733.86

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Solution

The fourth proportional to 7,732.53, 11,599.70 and 2,733.86 is: 4,101.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.53 : 11,599.70 = 2,733.86 : x
  2. Step 2: Convert to fraction form
    7,732.53/11,599.70 = 2,733.86/x
  3. Step 3: Cross multiply
    7,732.53x = 11,599.70 × 2,733.86
  4. Step 4: Simplify right side
    7,732.53x = 31,711,884.17
  5. Step 5: Solve for x
    x = 31,711,884.17/7,732.53
  6. Step 6: Final answer
    x = 4,101.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.