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Finding the Fourth Proportional to 12,176.78, 16,803.96 and 6,872.72

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Solution

The fourth proportional to 12,176.78, 16,803.96 and 6,872.72 is: 9,484.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,176.78 : 16,803.96 = 6,872.72 : x
  2. Step 2: Convert to fraction form
    12,176.78/16,803.96 = 6,872.72/x
  3. Step 3: Cross multiply
    12,176.78x = 16,803.96 × 6,872.72
  4. Step 4: Simplify right side
    12,176.78x = 115,488,911.97
  5. Step 5: Solve for x
    x = 115,488,911.97/12,176.78
  6. Step 6: Final answer
    x = 9,484.36

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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.