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Finding the Fourth Proportional to 7,072.94, 10,594.82 and 4,142.36

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Solution

The fourth proportional to 7,072.94, 10,594.82 and 4,142.36 is: 6,204.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,072.94 : 10,594.82 = 4,142.36 : x
  2. Step 2: Convert to fraction form
    7,072.94/10,594.82 = 4,142.36/x
  3. Step 3: Cross multiply
    7,072.94x = 10,594.82 × 4,142.36
  4. Step 4: Simplify right side
    7,072.94x = 43,887,515.96
  5. Step 5: Solve for x
    x = 43,887,515.96/7,072.94
  6. Step 6: Final answer
    x = 6,204.99

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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.