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Finding the Fourth Proportional to 12,183.84, 16,808.04 and 7,146

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Solution

The fourth proportional to 12,183.84, 16,808.04 and 7,146 is: 9,858.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,183.84 : 16,808.04 = 7,146 : x
  2. Step 2: Convert to fraction form
    12,183.84/16,808.04 = 7,146/x
  3. Step 3: Cross multiply
    12,183.84x = 16,808.04 × 7,146
  4. Step 4: Simplify right side
    12,183.84x = 120,110,253.84
  5. Step 5: Solve for x
    x = 120,110,253.84/12,183.84
  6. Step 6: Final answer
    x = 9,858.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.