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Finding the Fourth Proportional to 8,222.88, 11,347.92 and 4,686.96

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Solution

The fourth proportional to 8,222.88, 11,347.92 and 4,686.96 is: 6,468.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.88 : 11,347.92 = 4,686.96 : x
  2. Step 2: Convert to fraction form
    8,222.88/11,347.92 = 4,686.96/x
  3. Step 3: Cross multiply
    8,222.88x = 11,347.92 × 4,686.96
  4. Step 4: Simplify right side
    8,222.88x = 53,187,247.12
  5. Step 5: Solve for x
    x = 53,187,247.12/8,222.88
  6. Step 6: Final answer
    x = 6,468.20

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