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Finding the Fourth Proportional to 10,557.96, 15,800.22 and 6,395.64

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Solution

The fourth proportional to 10,557.96, 15,800.22 and 6,395.64 is: 9,571.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,557.96 : 15,800.22 = 6,395.64 : x
  2. Step 2: Convert to fraction form
    10,557.96/15,800.22 = 6,395.64/x
  3. Step 3: Cross multiply
    10,557.96x = 15,800.22 × 6,395.64
  4. Step 4: Simplify right side
    10,557.96x = 101,052,519.04
  5. Step 5: Solve for x
    x = 101,052,519.04/10,557.96
  6. Step 6: Final answer
    x = 9,571.22

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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.