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Finding the Fourth Proportional to 11,801.80, 16,283.54 and 7,605

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Solution

The fourth proportional to 11,801.80, 16,283.54 and 7,605 is: 10,493.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,801.80 : 16,283.54 = 7,605 : x
  2. Step 2: Convert to fraction form
    11,801.80/16,283.54 = 7,605/x
  3. Step 3: Cross multiply
    11,801.80x = 16,283.54 × 7,605
  4. Step 4: Simplify right side
    11,801.80x = 123,836,321.70
  5. Step 5: Solve for x
    x = 123,836,321.70/11,801.80
  6. Step 6: Final answer
    x = 10,493.00

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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.