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Finding the Fourth Proportional to 7,302.68, 10,075.20 and 4,158.08

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Solution

The fourth proportional to 7,302.68, 10,075.20 and 4,158.08 is: 5,736.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,302.68 : 10,075.20 = 4,158.08 : x
  2. Step 2: Convert to fraction form
    7,302.68/10,075.20 = 4,158.08/x
  3. Step 3: Cross multiply
    7,302.68x = 10,075.20 × 4,158.08
  4. Step 4: Simplify right side
    7,302.68x = 41,893,487.62
  5. Step 5: Solve for x
    x = 41,893,487.62/7,302.68
  6. Step 6: Final answer
    x = 5,736.73

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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.