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Finding the Fourth Proportional to 8,338.27, 11,506.73 and 4,561.40

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Solution

The fourth proportional to 8,338.27, 11,506.73 and 4,561.40 is: 6,294.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,338.27 : 11,506.73 = 4,561.40 : x
  2. Step 2: Convert to fraction form
    8,338.27/11,506.73 = 4,561.40/x
  3. Step 3: Cross multiply
    8,338.27x = 11,506.73 × 4,561.40
  4. Step 4: Simplify right side
    8,338.27x = 52,486,798.22
  5. Step 5: Solve for x
    x = 52,486,798.22/8,338.27
  6. Step 6: Final answer
    x = 6,294.69

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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.