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Finding the Fourth Proportional to 8,021.60, 12,032.40 and 2,827.88

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Solution

The fourth proportional to 8,021.60, 12,032.40 and 2,827.88 is: 4,241.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,021.60 : 12,032.40 = 2,827.88 : x
  2. Step 2: Convert to fraction form
    8,021.60/12,032.40 = 2,827.88/x
  3. Step 3: Cross multiply
    8,021.60x = 12,032.40 × 2,827.88
  4. Step 4: Simplify right side
    8,021.60x = 34,026,123.15
  5. Step 5: Solve for x
    x = 34,026,123.15/8,021.60
  6. Step 6: Final answer
    x = 4,241.82

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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.