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Finding the Fourth Proportional to 10,171.12, 15,222.12 and 5,782

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Solution

The fourth proportional to 10,171.12, 15,222.12 and 5,782 is: 8,653.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,171.12 : 15,222.12 = 5,782 : x
  2. Step 2: Convert to fraction form
    10,171.12/15,222.12 = 5,782/x
  3. Step 3: Cross multiply
    10,171.12x = 15,222.12 × 5,782
  4. Step 4: Simplify right side
    10,171.12x = 88,014,297.84
  5. Step 5: Solve for x
    x = 88,014,297.84/10,171.12
  6. Step 6: Final answer
    x = 8,653.35

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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.