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Finding the Fourth Proportional to 7,684.64, 11,528.64 and 2,754.56

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Solution

The fourth proportional to 7,684.64, 11,528.64 and 2,754.56 is: 4,132.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.64 : 11,528.64 = 2,754.56 : x
  2. Step 2: Convert to fraction form
    7,684.64/11,528.64 = 2,754.56/x
  3. Step 3: Cross multiply
    7,684.64x = 11,528.64 × 2,754.56
  4. Step 4: Simplify right side
    7,684.64x = 31,756,330.60
  5. Step 5: Solve for x
    x = 31,756,330.60/7,684.64
  6. Step 6: Final answer
    x = 4,132.44

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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.