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Finding the Fourth Proportional to 10,249.14, 14,114.04 and 8,904.14

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Solution

The fourth proportional to 10,249.14, 14,114.04 and 8,904.14 is: 12,261.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,249.14 : 14,114.04 = 8,904.14 : x
  2. Step 2: Convert to fraction form
    10,249.14/14,114.04 = 8,904.14/x
  3. Step 3: Cross multiply
    10,249.14x = 14,114.04 × 8,904.14
  4. Step 4: Simplify right side
    10,249.14x = 125,673,273.03
  5. Step 5: Solve for x
    x = 125,673,273.03/10,249.14
  6. Step 6: Final answer
    x = 12,261.84

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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.