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Finding the Fourth Proportional to 8,142.96, 12,230.82 and 4,862.46

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Solution

The fourth proportional to 8,142.96, 12,230.82 and 4,862.46 is: 7,303.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.96 : 12,230.82 = 4,862.46 : x
  2. Step 2: Convert to fraction form
    8,142.96/12,230.82 = 4,862.46/x
  3. Step 3: Cross multiply
    8,142.96x = 12,230.82 × 4,862.46
  4. Step 4: Simplify right side
    8,142.96x = 59,471,873.02
  5. Step 5: Solve for x
    x = 59,471,873.02/8,142.96
  6. Step 6: Final answer
    x = 7,303.47

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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.