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Finding the Fourth Proportional to 10,524.45, 14,524.76 and 7,867.25

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Solution

The fourth proportional to 10,524.45, 14,524.76 and 7,867.25 is: 10,857.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.45 : 14,524.76 = 7,867.25 : x
  2. Step 2: Convert to fraction form
    10,524.45/14,524.76 = 7,867.25/x
  3. Step 3: Cross multiply
    10,524.45x = 14,524.76 × 7,867.25
  4. Step 4: Simplify right side
    10,524.45x = 114,269,865.15
  5. Step 5: Solve for x
    x = 114,269,865.15/10,524.45
  6. Step 6: Final answer
    x = 10,857.56

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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.