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Finding the Fourth Proportional to 28,753.50, 43,130.25 and 7,977

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Solution

The fourth proportional to 28,753.50, 43,130.25 and 7,977 is: 11,965.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,753.50 : 43,130.25 = 7,977 : x
  2. Step 2: Convert to fraction form
    28,753.50/43,130.25 = 7,977/x
  3. Step 3: Cross multiply
    28,753.50x = 43,130.25 × 7,977
  4. Step 4: Simplify right side
    28,753.50x = 344,050,004.25
  5. Step 5: Solve for x
    x = 344,050,004.25/28,753.50
  6. Step 6: Final answer
    x = 11,965.50

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Why These Related Problems?

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