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Finding the Fourth Proportional to 7,077.42, 10,619.02 and 3,568.44

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Solution

The fourth proportional to 7,077.42, 10,619.02 and 3,568.44 is: 5,354.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.42 : 10,619.02 = 3,568.44 : x
  2. Step 2: Convert to fraction form
    7,077.42/10,619.02 = 3,568.44/x
  3. Step 3: Cross multiply
    7,077.42x = 10,619.02 × 3,568.44
  4. Step 4: Simplify right side
    7,077.42x = 37,893,335.73
  5. Step 5: Solve for x
    x = 37,893,335.73/7,077.42
  6. Step 6: Final answer
    x = 5,354.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.