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Finding the Fourth Proportional to 7,398.34, 10,206.27 and 4,412.38

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Solution

The fourth proportional to 7,398.34, 10,206.27 and 4,412.38 is: 6,087.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,398.34 : 10,206.27 = 4,412.38 : x
  2. Step 2: Convert to fraction form
    7,398.34/10,206.27 = 4,412.38/x
  3. Step 3: Cross multiply
    7,398.34x = 10,206.27 × 4,412.38
  4. Step 4: Simplify right side
    7,398.34x = 45,033,941.62
  5. Step 5: Solve for x
    x = 45,033,941.62/7,398.34
  6. Step 6: Final answer
    x = 6,087.03

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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.