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Finding the Fourth Proportional to 11,473.55, 15,834.31 and 6,438.25

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Solution

The fourth proportional to 11,473.55, 15,834.31 and 6,438.25 is: 8,885.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,473.55 : 15,834.31 = 6,438.25 : x
  2. Step 2: Convert to fraction form
    11,473.55/15,834.31 = 6,438.25/x
  3. Step 3: Cross multiply
    11,473.55x = 15,834.31 × 6,438.25
  4. Step 4: Simplify right side
    11,473.55x = 101,945,246.36
  5. Step 5: Solve for x
    x = 101,945,246.36/11,473.55
  6. Step 6: Final answer
    x = 8,885.24

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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.