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Finding the Fourth Proportional to 12,156.75, 16,775.89 and 6,851.25

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Solution

The fourth proportional to 12,156.75, 16,775.89 and 6,851.25 is: 9,454.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,156.75 : 16,775.89 = 6,851.25 : x
  2. Step 2: Convert to fraction form
    12,156.75/16,775.89 = 6,851.25/x
  3. Step 3: Cross multiply
    12,156.75x = 16,775.89 × 6,851.25
  4. Step 4: Simplify right side
    12,156.75x = 114,935,816.36
  5. Step 5: Solve for x
    x = 114,935,816.36/12,156.75
  6. Step 6: Final answer
    x = 9,454.49

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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.