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Finding the Fourth Proportional to 8,051.30, 12,076.32 and 4,100.07

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Solution

The fourth proportional to 8,051.30, 12,076.32 and 4,100.07 is: 6,149.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.30 : 12,076.32 = 4,100.07 : x
  2. Step 2: Convert to fraction form
    8,051.30/12,076.32 = 4,100.07/x
  3. Step 3: Cross multiply
    8,051.30x = 12,076.32 × 4,100.07
  4. Step 4: Simplify right side
    8,051.30x = 49,513,750.07
  5. Step 5: Solve for x
    x = 49,513,750.07/8,051.30
  6. Step 6: Final answer
    x = 6,149.78

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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.