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Finding the Fourth Proportional to 10,709.66, 16,066.84 and 3,212.90

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Solution

The fourth proportional to 10,709.66, 16,066.84 and 3,212.90 is: 4,820.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.66 : 16,066.84 = 3,212.90 : x
  2. Step 2: Convert to fraction form
    10,709.66/16,066.84 = 3,212.90/x
  3. Step 3: Cross multiply
    10,709.66x = 16,066.84 × 3,212.90
  4. Step 4: Simplify right side
    10,709.66x = 51,621,150.24
  5. Step 5: Solve for x
    x = 51,621,150.24/10,709.66
  6. Step 6: Final answer
    x = 4,820.06

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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.