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Finding the Fourth Proportional to 8,000.39, 11,040.57 and 4,463.75

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Solution

The fourth proportional to 8,000.39, 11,040.57 and 4,463.75 is: 6,159.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.39 : 11,040.57 = 4,463.75 : x
  2. Step 2: Convert to fraction form
    8,000.39/11,040.57 = 4,463.75/x
  3. Step 3: Cross multiply
    8,000.39x = 11,040.57 × 4,463.75
  4. Step 4: Simplify right side
    8,000.39x = 49,282,289.13
  5. Step 5: Solve for x
    x = 49,282,289.13/8,000.39
  6. Step 6: Final answer
    x = 6,159.99

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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.