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Finding the Fourth Proportional to 12,006.80, 16,578.16 and 7,760.37

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Solution

The fourth proportional to 12,006.80, 16,578.16 and 7,760.37 is: 10,714.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,006.80 : 16,578.16 = 7,760.37 : x
  2. Step 2: Convert to fraction form
    12,006.80/16,578.16 = 7,760.37/x
  3. Step 3: Cross multiply
    12,006.80x = 16,578.16 × 7,760.37
  4. Step 4: Simplify right side
    12,006.80x = 128,652,636.12
  5. Step 5: Solve for x
    x = 128,652,636.12/12,006.80
  6. Step 6: Final answer
    x = 10,714.99

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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.