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Finding the Fourth Proportional to 10,973.56, 16,455 and 5,425.12

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Solution

The fourth proportional to 10,973.56, 16,455 and 5,425.12 is: 8,135.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,973.56 : 16,455 = 5,425.12 : x
  2. Step 2: Convert to fraction form
    10,973.56/16,455 = 5,425.12/x
  3. Step 3: Cross multiply
    10,973.56x = 16,455 × 5,425.12
  4. Step 4: Simplify right side
    10,973.56x = 89,270,349.60
  5. Step 5: Solve for x
    x = 89,270,349.60/10,973.56
  6. Step 6: Final answer
    x = 8,135.04

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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.