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Finding the Fourth Proportional to 7,353.68, 10,147.38 and 4,209.80

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Solution

The fourth proportional to 7,353.68, 10,147.38 and 4,209.80 is: 5,809.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,353.68 : 10,147.38 = 4,209.80 : x
  2. Step 2: Convert to fraction form
    7,353.68/10,147.38 = 4,209.80/x
  3. Step 3: Cross multiply
    7,353.68x = 10,147.38 × 4,209.80
  4. Step 4: Simplify right side
    7,353.68x = 42,718,440.32
  5. Step 5: Solve for x
    x = 42,718,440.32/7,353.68
  6. Step 6: Final answer
    x = 5,809.12

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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.