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Finding the Fourth Proportional to 7,301.02, 10,075.21 and 4,157.02

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Solution

The fourth proportional to 7,301.02, 10,075.21 and 4,157.02 is: 5,736.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,301.02 : 10,075.21 = 4,157.02 : x
  2. Step 2: Convert to fraction form
    7,301.02/10,075.21 = 4,157.02/x
  3. Step 3: Cross multiply
    7,301.02x = 10,075.21 × 4,157.02
  4. Step 4: Simplify right side
    7,301.02x = 41,882,849.47
  5. Step 5: Solve for x
    x = 41,882,849.47/7,301.02
  6. Step 6: Final answer
    x = 5,736.58

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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.