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Finding the Fourth Proportional to 8,029.54, 12,056.55 and 7,633.54

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Solution

The fourth proportional to 8,029.54, 12,056.55 and 7,633.54 is: 11,461.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,029.54 : 12,056.55 = 7,633.54 : x
  2. Step 2: Convert to fraction form
    8,029.54/12,056.55 = 7,633.54/x
  3. Step 3: Cross multiply
    8,029.54x = 12,056.55 × 7,633.54
  4. Step 4: Simplify right side
    8,029.54x = 92,034,156.69
  5. Step 5: Solve for x
    x = 92,034,156.69/8,029.54
  6. Step 6: Final answer
    x = 11,461.95

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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.