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Finding the Fourth Proportional to 10,649.40, 15,974.09 and 2,858.21

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Solution

The fourth proportional to 10,649.40, 15,974.09 and 2,858.21 is: 4,287.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.40 : 15,974.09 = 2,858.21 : x
  2. Step 2: Convert to fraction form
    10,649.40/15,974.09 = 2,858.21/x
  3. Step 3: Cross multiply
    10,649.40x = 15,974.09 × 2,858.21
  4. Step 4: Simplify right side
    10,649.40x = 45,657,301.83
  5. Step 5: Solve for x
    x = 45,657,301.83/10,649.40
  6. Step 6: Final answer
    x = 4,287.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.