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Finding the Fourth Proportional to 10,249.66, 14,142.27 and 6,521.50

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Solution

The fourth proportional to 10,249.66, 14,142.27 and 6,521.50 is: 8,998.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,249.66 : 14,142.27 = 6,521.50 : x
  2. Step 2: Convert to fraction form
    10,249.66/14,142.27 = 6,521.50/x
  3. Step 3: Cross multiply
    10,249.66x = 14,142.27 × 6,521.50
  4. Step 4: Simplify right side
    10,249.66x = 92,228,813.81
  5. Step 5: Solve for x
    x = 92,228,813.81/10,249.66
  6. Step 6: Final answer
    x = 8,998.23

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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.