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Finding the Fourth Proportional to 8,452.40, 12,662.46 and 4,743.38

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Solution

The fourth proportional to 8,452.40, 12,662.46 and 4,743.38 is: 7,106.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,452.40 : 12,662.46 = 4,743.38 : x
  2. Step 2: Convert to fraction form
    8,452.40/12,662.46 = 4,743.38/x
  3. Step 3: Cross multiply
    8,452.40x = 12,662.46 × 4,743.38
  4. Step 4: Simplify right side
    8,452.40x = 60,062,859.51
  5. Step 5: Solve for x
    x = 60,062,859.51/8,452.40
  6. Step 6: Final answer
    x = 7,106.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.