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Finding the Fourth Proportional to 7,909.95, 11,866.83 and 2,363.76

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Solution

The fourth proportional to 7,909.95, 11,866.83 and 2,363.76 is: 3,546.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,909.95 : 11,866.83 = 2,363.76 : x
  2. Step 2: Convert to fraction form
    7,909.95/11,866.83 = 2,363.76/x
  3. Step 3: Cross multiply
    7,909.95x = 11,866.83 × 2,363.76
  4. Step 4: Simplify right side
    7,909.95x = 28,050,338.08
  5. Step 5: Solve for x
    x = 28,050,338.08/7,909.95
  6. Step 6: Final answer
    x = 3,546.21

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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.