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Finding the Fourth Proportional to 12,107.54, 16,716.49 and 7,577.10

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Solution

The fourth proportional to 12,107.54, 16,716.49 and 7,577.10 is: 10,461.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107.54 : 16,716.49 = 7,577.10 : x
  2. Step 2: Convert to fraction form
    12,107.54/16,716.49 = 7,577.10/x
  3. Step 3: Cross multiply
    12,107.54x = 16,716.49 × 7,577.10
  4. Step 4: Simplify right side
    12,107.54x = 126,662,497.44
  5. Step 5: Solve for x
    x = 126,662,497.44/12,107.54
  6. Step 6: Final answer
    x = 10,461.45

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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.