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Finding the Fourth Proportional to 12,003.06, 16,560.90 and 7,754.31

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Solution

The fourth proportional to 12,003.06, 16,560.90 and 7,754.31 is: 10,698.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,003.06 : 16,560.90 = 7,754.31 : x
  2. Step 2: Convert to fraction form
    12,003.06/16,560.90 = 7,754.31/x
  3. Step 3: Cross multiply
    12,003.06x = 16,560.90 × 7,754.31
  4. Step 4: Simplify right side
    12,003.06x = 128,418,352.48
  5. Step 5: Solve for x
    x = 128,418,352.48/12,003.06
  6. Step 6: Final answer
    x = 10,698.80

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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.