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Finding the Fourth Proportional to 7,300.82, 10,075.17 and 4,157.01

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Solution

The fourth proportional to 7,300.82, 10,075.17 and 4,157.01 is: 5,736.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,300.82 : 10,075.17 = 4,157.01 : x
  2. Step 2: Convert to fraction form
    7,300.82/10,075.17 = 4,157.01/x
  3. Step 3: Cross multiply
    7,300.82x = 10,075.17 × 4,157.01
  4. Step 4: Simplify right side
    7,300.82x = 41,882,582.44
  5. Step 5: Solve for x
    x = 41,882,582.44/7,300.82
  6. Step 6: Final answer
    x = 5,736.70

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