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Finding the Fourth Proportional to 28,513.70, 42,770.46 and 7,737.20

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Solution

The fourth proportional to 28,513.70, 42,770.46 and 7,737.20 is: 11,605.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,513.70 : 42,770.46 = 7,737.20 : x
  2. Step 2: Convert to fraction form
    28,513.70/42,770.46 = 7,737.20/x
  3. Step 3: Cross multiply
    28,513.70x = 42,770.46 × 7,737.20
  4. Step 4: Simplify right side
    28,513.70x = 330,923,603.11
  5. Step 5: Solve for x
    x = 330,923,603.11/28,513.70
  6. Step 6: Final answer
    x = 11,605.78

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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.