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Finding the Fourth Proportional to 6,950.57, 10,422.62 and 4,029.71

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Solution

The fourth proportional to 6,950.57, 10,422.62 and 4,029.71 is: 6,042.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,950.57 : 10,422.62 = 4,029.71 : x
  2. Step 2: Convert to fraction form
    6,950.57/10,422.62 = 4,029.71/x
  3. Step 3: Cross multiply
    6,950.57x = 10,422.62 × 4,029.71
  4. Step 4: Simplify right side
    6,950.57x = 42,000,115.89
  5. Step 5: Solve for x
    x = 42,000,115.89/6,950.57
  6. Step 6: Final answer
    x = 6,042.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.