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Finding the Fourth Proportional to 7,393.40, 10,205.34 and 4,410.20

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Solution

The fourth proportional to 7,393.40, 10,205.34 and 4,410.20 is: 6,087.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,393.40 : 10,205.34 = 4,410.20 : x
  2. Step 2: Convert to fraction form
    7,393.40/10,205.34 = 4,410.20/x
  3. Step 3: Cross multiply
    7,393.40x = 10,205.34 × 4,410.20
  4. Step 4: Simplify right side
    7,393.40x = 45,007,590.47
  5. Step 5: Solve for x
    x = 45,007,590.47/7,393.40
  6. Step 6: Final answer
    x = 6,087.54

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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.