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Finding the Fourth Proportional to 8,073.96, 11,142.38 and 4,537.16

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Solution

The fourth proportional to 8,073.96, 11,142.38 and 4,537.16 is: 6,261.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,073.96 : 11,142.38 = 4,537.16 : x
  2. Step 2: Convert to fraction form
    8,073.96/11,142.38 = 4,537.16/x
  3. Step 3: Cross multiply
    8,073.96x = 11,142.38 × 4,537.16
  4. Step 4: Simplify right side
    8,073.96x = 50,554,760.84
  5. Step 5: Solve for x
    x = 50,554,760.84/8,073.96
  6. Step 6: Final answer
    x = 6,261.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.