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Finding the Fourth Proportional to 7,398.16, 10,209.60 and 4,211.92

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Solution

The fourth proportional to 7,398.16, 10,209.60 and 4,211.92 is: 5,812.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,398.16 : 10,209.60 = 4,211.92 : x
  2. Step 2: Convert to fraction form
    7,398.16/10,209.60 = 4,211.92/x
  3. Step 3: Cross multiply
    7,398.16x = 10,209.60 × 4,211.92
  4. Step 4: Simplify right side
    7,398.16x = 43,002,018.43
  5. Step 5: Solve for x
    x = 43,002,018.43/7,398.16
  6. Step 6: Final answer
    x = 5,812.53

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