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Finding the Fourth Proportional to 7,480.39, 10,322.91 and 4,338.40

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Solution

The fourth proportional to 7,480.39, 10,322.91 and 4,338.40 is: 5,986.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,480.39 : 10,322.91 = 4,338.40 : x
  2. Step 2: Convert to fraction form
    7,480.39/10,322.91 = 4,338.40/x
  3. Step 3: Cross multiply
    7,480.39x = 10,322.91 × 4,338.40
  4. Step 4: Simplify right side
    7,480.39x = 44,784,912.74
  5. Step 5: Solve for x
    x = 44,784,912.74/7,480.39
  6. Step 6: Final answer
    x = 5,986.98

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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.