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Finding the Fourth Proportional to 7,558.20, 10,431.06 and 4,202.10

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Solution

The fourth proportional to 7,558.20, 10,431.06 and 4,202.10 is: 5,799.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,558.20 : 10,431.06 = 4,202.10 : x
  2. Step 2: Convert to fraction form
    7,558.20/10,431.06 = 4,202.10/x
  3. Step 3: Cross multiply
    7,558.20x = 10,431.06 × 4,202.10
  4. Step 4: Simplify right side
    7,558.20x = 43,832,357.23
  5. Step 5: Solve for x
    x = 43,832,357.23/7,558.20
  6. Step 6: Final answer
    x = 5,799.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.