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Finding the Fourth Proportional to 10,760.73, 16,125.50 and 7,646.90

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Solution

The fourth proportional to 10,760.73, 16,125.50 and 7,646.90 is: 11,459.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,760.73 : 16,125.50 = 7,646.90 : x
  2. Step 2: Convert to fraction form
    10,760.73/16,125.50 = 7,646.90/x
  3. Step 3: Cross multiply
    10,760.73x = 16,125.50 × 7,646.90
  4. Step 4: Simplify right side
    10,760.73x = 123,309,967.09
  5. Step 5: Solve for x
    x = 123,309,967.09/10,760.73
  6. Step 6: Final answer
    x = 11,459.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.