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Finding the Fourth Proportional to 10,438.56, 14,405.04 and 5,723.28

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Solution

The fourth proportional to 10,438.56, 14,405.04 and 5,723.28 is: 7,898.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.56 : 14,405.04 = 5,723.28 : x
  2. Step 2: Convert to fraction form
    10,438.56/14,405.04 = 5,723.28/x
  3. Step 3: Cross multiply
    10,438.56x = 14,405.04 × 5,723.28
  4. Step 4: Simplify right side
    10,438.56x = 82,444,077.33
  5. Step 5: Solve for x
    x = 82,444,077.33/10,438.56
  6. Step 6: Final answer
    x = 7,898.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.