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Finding the Fourth Proportional to 10,249.66, 14,146.83 and 6,710.81

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Solution

The fourth proportional to 10,249.66, 14,146.83 and 6,710.81 is: 9,262.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,249.66 : 14,146.83 = 6,710.81 : x
  2. Step 2: Convert to fraction form
    10,249.66/14,146.83 = 6,710.81/x
  3. Step 3: Cross multiply
    10,249.66x = 14,146.83 × 6,710.81
  4. Step 4: Simplify right side
    10,249.66x = 94,936,688.23
  5. Step 5: Solve for x
    x = 94,936,688.23/10,249.66
  6. Step 6: Final answer
    x = 9,262.42

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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.