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Finding the Fourth Proportional to 4,063.56, 6,094.23 and 1,142.04

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Solution

The fourth proportional to 4,063.56, 6,094.23 and 1,142.04 is: 1,712.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,063.56 : 6,094.23 = 1,142.04 : x
  2. Step 2: Convert to fraction form
    4,063.56/6,094.23 = 1,142.04/x
  3. Step 3: Cross multiply
    4,063.56x = 6,094.23 × 1,142.04
  4. Step 4: Simplify right side
    4,063.56x = 6,959,854.43
  5. Step 5: Solve for x
    x = 6,959,854.43/4,063.56
  6. Step 6: Final answer
    x = 1,712.75

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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.