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Finding the Fourth Proportional to 7,756.83, 11,635.65 and 3,859.92

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Solution

The fourth proportional to 7,756.83, 11,635.65 and 3,859.92 is: 5,790.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.83 : 11,635.65 = 3,859.92 : x
  2. Step 2: Convert to fraction form
    7,756.83/11,635.65 = 3,859.92/x
  3. Step 3: Cross multiply
    7,756.83x = 11,635.65 × 3,859.92
  4. Step 4: Simplify right side
    7,756.83x = 44,912,678.15
  5. Step 5: Solve for x
    x = 44,912,678.15/7,756.83
  6. Step 6: Final answer
    x = 5,790.08

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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.