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Finding the Fourth Proportional to 10,645.01, 15,965.69 and 2,852

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Solution

The fourth proportional to 10,645.01, 15,965.69 and 2,852 is: 4,277.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,645.01 : 15,965.69 = 2,852 : x
  2. Step 2: Convert to fraction form
    10,645.01/15,965.69 = 2,852/x
  3. Step 3: Cross multiply
    10,645.01x = 15,965.69 × 2,852
  4. Step 4: Simplify right side
    10,645.01x = 45,534,147.88
  5. Step 5: Solve for x
    x = 45,534,147.88/10,645.01
  6. Step 6: Final answer
    x = 4,277.51

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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.