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Finding the Fourth Proportional to 10,524.44, 14,524.74 and 7,867.16

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Solution

The fourth proportional to 10,524.44, 14,524.74 and 7,867.16 is: 10,857.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.44 : 14,524.74 = 7,867.16 : x
  2. Step 2: Convert to fraction form
    10,524.44/14,524.74 = 7,867.16/x
  3. Step 3: Cross multiply
    10,524.44x = 14,524.74 × 7,867.16
  4. Step 4: Simplify right side
    10,524.44x = 114,268,453.54
  5. Step 5: Solve for x
    x = 114,268,453.54/10,524.44
  6. Step 6: Final answer
    x = 10,857.44

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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.