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Finding the Fourth Proportional to 10,649.09, 15,980.02 and 4,409.19

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Solution

The fourth proportional to 10,649.09, 15,980.02 and 4,409.19 is: 6,616.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.09 : 15,980.02 = 4,409.19 : x
  2. Step 2: Convert to fraction form
    10,649.09/15,980.02 = 4,409.19/x
  3. Step 3: Cross multiply
    10,649.09x = 15,980.02 × 4,409.19
  4. Step 4: Simplify right side
    10,649.09x = 70,458,933.36
  5. Step 5: Solve for x
    x = 70,458,933.36/10,649.09
  6. Step 6: Final answer
    x = 6,616.43

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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.