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Finding the Fourth Proportional to 10,649.36, 15,991.32 and 6,571.28

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Solution

The fourth proportional to 10,649.36, 15,991.32 and 6,571.28 is: 9,867.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.36 : 15,991.32 = 6,571.28 : x
  2. Step 2: Convert to fraction form
    10,649.36/15,991.32 = 6,571.28/x
  3. Step 3: Cross multiply
    10,649.36x = 15,991.32 × 6,571.28
  4. Step 4: Simplify right side
    10,649.36x = 105,083,441.29
  5. Step 5: Solve for x
    x = 105,083,441.29/10,649.36
  6. Step 6: Final answer
    x = 9,867.58

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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.