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Finding the Fourth Proportional to 11,700.28, 16,135.68 and 9,148.39

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Solution

The fourth proportional to 11,700.28, 16,135.68 and 9,148.39 is: 12,616.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700.28 : 16,135.68 = 9,148.39 : x
  2. Step 2: Convert to fraction form
    11,700.28/16,135.68 = 9,148.39/x
  3. Step 3: Cross multiply
    11,700.28x = 16,135.68 × 9,148.39
  4. Step 4: Simplify right side
    11,700.28x = 147,615,493.56
  5. Step 5: Solve for x
    x = 147,615,493.56/11,700.28
  6. Step 6: Final answer
    x = 12,616.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.