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Finding the Fourth Proportional to 8,201.56, 12,302.66 and 4,666.36

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Solution

The fourth proportional to 8,201.56, 12,302.66 and 4,666.36 is: 6,999.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.56 : 12,302.66 = 4,666.36 : x
  2. Step 2: Convert to fraction form
    8,201.56/12,302.66 = 4,666.36/x
  3. Step 3: Cross multiply
    8,201.56x = 12,302.66 × 4,666.36
  4. Step 4: Simplify right side
    8,201.56x = 57,408,640.52
  5. Step 5: Solve for x
    x = 57,408,640.52/8,201.56
  6. Step 6: Final answer
    x = 6,999.72

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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.