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Finding the Fourth Proportional to 10,684.64, 16,023 and 3,663.20

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Solution

The fourth proportional to 10,684.64, 16,023 and 3,663.20 is: 5,493.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684.64 : 16,023 = 3,663.20 : x
  2. Step 2: Convert to fraction form
    10,684.64/16,023 = 3,663.20/x
  3. Step 3: Cross multiply
    10,684.64x = 16,023 × 3,663.20
  4. Step 4: Simplify right side
    10,684.64x = 58,695,453.60
  5. Step 5: Solve for x
    x = 58,695,453.60/10,684.64
  6. Step 6: Final answer
    x = 5,493.44

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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.