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Finding the Fourth Proportional to 6,689.41, 10,029.21 and 4,094.17

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Solution

The fourth proportional to 6,689.41, 10,029.21 and 4,094.17 is: 6,138.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.41 : 10,029.21 = 4,094.17 : x
  2. Step 2: Convert to fraction form
    6,689.41/10,029.21 = 4,094.17/x
  3. Step 3: Cross multiply
    6,689.41x = 10,029.21 × 4,094.17
  4. Step 4: Simplify right side
    6,689.41x = 41,061,290.71
  5. Step 5: Solve for x
    x = 41,061,290.71/6,689.41
  6. Step 6: Final answer
    x = 6,138.25

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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.