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Finding the Fourth Proportional to 8,225.30, 11,347.97 and 4,686.46

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Solution

The fourth proportional to 8,225.30, 11,347.97 and 4,686.46 is: 6,465.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,225.30 : 11,347.97 = 4,686.46 : x
  2. Step 2: Convert to fraction form
    8,225.30/11,347.97 = 4,686.46/x
  3. Step 3: Cross multiply
    8,225.30x = 11,347.97 × 4,686.46
  4. Step 4: Simplify right side
    8,225.30x = 53,181,755.68
  5. Step 5: Solve for x
    x = 53,181,755.68/8,225.30
  6. Step 6: Final answer
    x = 6,465.63

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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.