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Finding the Fourth Proportional to 8,072.34, 12,102.93 and 4,115.93

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Solution

The fourth proportional to 8,072.34, 12,102.93 and 4,115.93 is: 6,171.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,072.34 : 12,102.93 = 4,115.93 : x
  2. Step 2: Convert to fraction form
    8,072.34/12,102.93 = 4,115.93/x
  3. Step 3: Cross multiply
    8,072.34x = 12,102.93 × 4,115.93
  4. Step 4: Simplify right side
    8,072.34x = 49,814,752.16
  5. Step 5: Solve for x
    x = 49,814,752.16/8,072.34
  6. Step 6: Final answer
    x = 6,171.04

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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.