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Finding the Fourth Proportional to 7,500.12, 10,350.04 and 4,142.94

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Solution

The fourth proportional to 7,500.12, 10,350.04 and 4,142.94 is: 5,717.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,500.12 : 10,350.04 = 4,142.94 : x
  2. Step 2: Convert to fraction form
    7,500.12/10,350.04 = 4,142.94/x
  3. Step 3: Cross multiply
    7,500.12x = 10,350.04 × 4,142.94
  4. Step 4: Simplify right side
    7,500.12x = 42,879,594.72
  5. Step 5: Solve for x
    x = 42,879,594.72/7,500.12
  6. Step 6: Final answer
    x = 5,717.19

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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.