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Finding the Fourth Proportional to 28,517.04, 42,777.72 and 7,740

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Solution

The fourth proportional to 28,517.04, 42,777.72 and 7,740 is: 11,610.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,517.04 : 42,777.72 = 7,740 : x
  2. Step 2: Convert to fraction form
    28,517.04/42,777.72 = 7,740/x
  3. Step 3: Cross multiply
    28,517.04x = 42,777.72 × 7,740
  4. Step 4: Simplify right side
    28,517.04x = 331,099,552.80
  5. Step 5: Solve for x
    x = 331,099,552.80/28,517.04
  6. Step 6: Final answer
    x = 11,610.59

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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.