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Finding the Fourth Proportional to 11,805.80, 16,283.58 and 7,610

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Solution

The fourth proportional to 11,805.80, 16,283.58 and 7,610 is: 10,496.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.80 : 16,283.58 = 7,610 : x
  2. Step 2: Convert to fraction form
    11,805.80/16,283.58 = 7,610/x
  3. Step 3: Cross multiply
    11,805.80x = 16,283.58 × 7,610
  4. Step 4: Simplify right side
    11,805.80x = 123,918,043.80
  5. Step 5: Solve for x
    x = 123,918,043.80/11,805.80
  6. Step 6: Final answer
    x = 10,496.37

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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.