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Finding the Fourth Proportional to 10,695.68, 16,043.16 and 3,770

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Solution

The fourth proportional to 10,695.68, 16,043.16 and 3,770 is: 5,654.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,695.68 : 16,043.16 = 3,770 : x
  2. Step 2: Convert to fraction form
    10,695.68/16,043.16 = 3,770/x
  3. Step 3: Cross multiply
    10,695.68x = 16,043.16 × 3,770
  4. Step 4: Simplify right side
    10,695.68x = 60,482,713.20
  5. Step 5: Solve for x
    x = 60,482,713.20/10,695.68
  6. Step 6: Final answer
    x = 5,654.87

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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.