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Finding the Fourth Proportional to 7,650.64, 11,480.28 and 3,267.76

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Solution

The fourth proportional to 7,650.64, 11,480.28 and 3,267.76 is: 4,903.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,650.64 : 11,480.28 = 3,267.76 : x
  2. Step 2: Convert to fraction form
    7,650.64/11,480.28 = 3,267.76/x
  3. Step 3: Cross multiply
    7,650.64x = 11,480.28 × 3,267.76
  4. Step 4: Simplify right side
    7,650.64x = 37,514,799.77
  5. Step 5: Solve for x
    x = 37,514,799.77/7,650.64
  6. Step 6: Final answer
    x = 4,903.49

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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.