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Finding the Fourth Proportional to 8,230.29, 12,347.46 and 2,386.82

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Solution

The fourth proportional to 8,230.29, 12,347.46 and 2,386.82 is: 3,580.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.29 : 12,347.46 = 2,386.82 : x
  2. Step 2: Convert to fraction form
    8,230.29/12,347.46 = 2,386.82/x
  3. Step 3: Cross multiply
    8,230.29x = 12,347.46 × 2,386.82
  4. Step 4: Simplify right side
    8,230.29x = 29,471,102.74
  5. Step 5: Solve for x
    x = 29,471,102.74/8,230.29
  6. Step 6: Final answer
    x = 3,580.81

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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.