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Finding the Fourth Proportional to 7,300.80, 10,075.19 and 4,156.38

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Solution

The fourth proportional to 7,300.80, 10,075.19 and 4,156.38 is: 5,735.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,300.80 : 10,075.19 = 4,156.38 : x
  2. Step 2: Convert to fraction form
    7,300.80/10,075.19 = 4,156.38/x
  3. Step 3: Cross multiply
    7,300.80x = 10,075.19 × 4,156.38
  4. Step 4: Simplify right side
    7,300.80x = 41,876,297.43
  5. Step 5: Solve for x
    x = 41,876,297.43/7,300.80
  6. Step 6: Final answer
    x = 5,735.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.