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Finding the Fourth Proportional to 8,002.46, 11,043.33 and 4,465.46

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Solution

The fourth proportional to 8,002.46, 11,043.33 and 4,465.46 is: 6,162.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.46 : 11,043.33 = 4,465.46 : x
  2. Step 2: Convert to fraction form
    8,002.46/11,043.33 = 4,465.46/x
  3. Step 3: Cross multiply
    8,002.46x = 11,043.33 × 4,465.46
  4. Step 4: Simplify right side
    8,002.46x = 49,313,548.38
  5. Step 5: Solve for x
    x = 49,313,548.38/8,002.46
  6. Step 6: Final answer
    x = 6,162.30

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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.