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Finding the Fourth Proportional to 8,414.02, 11,611.61 and 4,829.63

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Solution

The fourth proportional to 8,414.02, 11,611.61 and 4,829.63 is: 6,665.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.02 : 11,611.61 = 4,829.63 : x
  2. Step 2: Convert to fraction form
    8,414.02/11,611.61 = 4,829.63/x
  3. Step 3: Cross multiply
    8,414.02x = 11,611.61 × 4,829.63
  4. Step 4: Simplify right side
    8,414.02x = 56,079,780.00
  5. Step 5: Solve for x
    x = 56,079,780.00/8,414.02
  6. Step 6: Final answer
    x = 6,665.04

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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.