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Finding the Fourth Proportional to 10,362.83, 15,550.73 and 4,206.83

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Solution

The fourth proportional to 10,362.83, 15,550.73 and 4,206.83 is: 6,312.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,362.83 : 15,550.73 = 4,206.83 : x
  2. Step 2: Convert to fraction form
    10,362.83/15,550.73 = 4,206.83/x
  3. Step 3: Cross multiply
    10,362.83x = 15,550.73 × 4,206.83
  4. Step 4: Simplify right side
    10,362.83x = 65,419,277.49
  5. Step 5: Solve for x
    x = 65,419,277.49/10,362.83
  6. Step 6: Final answer
    x = 6,312.88

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