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Finding the Fourth Proportional to 12,157.92, 16,777.59 and 6,780.51

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Solution

The fourth proportional to 12,157.92, 16,777.59 and 6,780.51 is: 9,356.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,157.92 : 16,777.59 = 6,780.51 : x
  2. Step 2: Convert to fraction form
    12,157.92/16,777.59 = 6,780.51/x
  3. Step 3: Cross multiply
    12,157.92x = 16,777.59 × 6,780.51
  4. Step 4: Simplify right side
    12,157.92x = 113,760,616.77
  5. Step 5: Solve for x
    x = 113,760,616.77/12,157.92
  6. Step 6: Final answer
    x = 9,356.91

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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.