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Finding the Fourth Proportional to 8,133.50, 11,224.35 and 4,776.39

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Solution

The fourth proportional to 8,133.50, 11,224.35 and 4,776.39 is: 6,591.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,133.50 : 11,224.35 = 4,776.39 : x
  2. Step 2: Convert to fraction form
    8,133.50/11,224.35 = 4,776.39/x
  3. Step 3: Cross multiply
    8,133.50x = 11,224.35 × 4,776.39
  4. Step 4: Simplify right side
    8,133.50x = 53,611,873.10
  5. Step 5: Solve for x
    x = 53,611,873.10/8,133.50
  6. Step 6: Final answer
    x = 6,591.49

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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.