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Finding the Fourth Proportional to 12,177.56, 16,804.10 and 6,872.87

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Solution

The fourth proportional to 12,177.56, 16,804.10 and 6,872.87 is: 9,484.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,177.56 : 16,804.10 = 6,872.87 : x
  2. Step 2: Convert to fraction form
    12,177.56/16,804.10 = 6,872.87/x
  3. Step 3: Cross multiply
    12,177.56x = 16,804.10 × 6,872.87
  4. Step 4: Simplify right side
    12,177.56x = 115,492,276.38
  5. Step 5: Solve for x
    x = 115,492,276.38/12,177.56
  6. Step 6: Final answer
    x = 9,484.03

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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.