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Finding the Fourth Proportional to 10,449.00, 14,419.38 and 5,786.90

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Solution

The fourth proportional to 10,449.00, 14,419.38 and 5,786.90 is: 7,985.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449.00 : 14,419.38 = 5,786.90 : x
  2. Step 2: Convert to fraction form
    10,449.00/14,419.38 = 5,786.90/x
  3. Step 3: Cross multiply
    10,449.00x = 14,419.38 × 5,786.90
  4. Step 4: Simplify right side
    10,449.00x = 83,443,553.10
  5. Step 5: Solve for x
    x = 83,443,553.10/10,449.00
  6. Step 6: Final answer
    x = 7,985.79

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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.