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Finding the Fourth Proportional to 11,737.31, 17,605.96 and 2,971.54

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Solution

The fourth proportional to 11,737.31, 17,605.96 and 2,971.54 is: 4,457.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,737.31 : 17,605.96 = 2,971.54 : x
  2. Step 2: Convert to fraction form
    11,737.31/17,605.96 = 2,971.54/x
  3. Step 3: Cross multiply
    11,737.31x = 17,605.96 × 2,971.54
  4. Step 4: Simplify right side
    11,737.31x = 52,316,729.92
  5. Step 5: Solve for x
    x = 52,316,729.92/11,737.31
  6. Step 6: Final answer
    x = 4,457.30

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Why These Related Problems?

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