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Finding the Fourth Proportional to 8,162.34, 12,242.67 and 2,896.50

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Solution

The fourth proportional to 8,162.34, 12,242.67 and 2,896.50 is: 4,344.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162.34 : 12,242.67 = 2,896.50 : x
  2. Step 2: Convert to fraction form
    8,162.34/12,242.67 = 2,896.50/x
  3. Step 3: Cross multiply
    8,162.34x = 12,242.67 × 2,896.50
  4. Step 4: Simplify right side
    8,162.34x = 35,460,893.66
  5. Step 5: Solve for x
    x = 35,460,893.66/8,162.34
  6. Step 6: Final answer
    x = 4,344.45

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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.