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Finding the Fourth Proportional to 7,500.05, 10,350.02 and 4,143.09

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Solution

The fourth proportional to 7,500.05, 10,350.02 and 4,143.09 is: 5,717.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,500.05 : 10,350.02 = 4,143.09 : x
  2. Step 2: Convert to fraction form
    7,500.05/10,350.02 = 4,143.09/x
  3. Step 3: Cross multiply
    7,500.05x = 10,350.02 × 4,143.09
  4. Step 4: Simplify right side
    7,500.05x = 42,881,074.72
  5. Step 5: Solve for x
    x = 42,881,074.72/7,500.05
  6. Step 6: Final answer
    x = 5,717.44

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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.