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Finding the Fourth Proportional to 8,042.45, 12,065.40 and 4,094.28

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Solution

The fourth proportional to 8,042.45, 12,065.40 and 4,094.28 is: 6,142.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,042.45 : 12,065.40 = 4,094.28 : x
  2. Step 2: Convert to fraction form
    8,042.45/12,065.40 = 4,094.28/x
  3. Step 3: Cross multiply
    8,042.45x = 12,065.40 × 4,094.28
  4. Step 4: Simplify right side
    8,042.45x = 49,399,125.91
  5. Step 5: Solve for x
    x = 49,399,125.91/8,042.45
  6. Step 6: Final answer
    x = 6,142.30

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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.