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Finding the Fourth Proportional to 8,000, 11,039.98 and 4,463

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Solution

The fourth proportional to 8,000, 11,039.98 and 4,463 is: 6,158.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000 : 11,039.98 = 4,463 : x
  2. Step 2: Convert to fraction form
    8,000/11,039.98 = 4,463/x
  3. Step 3: Cross multiply
    8,000x = 11,039.98 × 4,463
  4. Step 4: Simplify right side
    8,000x = 49,271,430.74
  5. Step 5: Solve for x
    x = 49,271,430.74/8,000
  6. Step 6: Final answer
    x = 6,158.93

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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.