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Finding the Fourth Proportional to 10,321.77, 14,249.96 and 6,795.24

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Solution

The fourth proportional to 10,321.77, 14,249.96 and 6,795.24 is: 9,381.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,321.77 : 14,249.96 = 6,795.24 : x
  2. Step 2: Convert to fraction form
    10,321.77/14,249.96 = 6,795.24/x
  3. Step 3: Cross multiply
    10,321.77x = 14,249.96 × 6,795.24
  4. Step 4: Simplify right side
    10,321.77x = 96,831,864.21
  5. Step 5: Solve for x
    x = 96,831,864.21/10,321.77
  6. Step 6: Final answer
    x = 9,381.32

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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.