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Finding the Fourth Proportional to 7,729.15, 11,594.05 and 3,836.67

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Solution

The fourth proportional to 7,729.15, 11,594.05 and 3,836.67 is: 5,755.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.15 : 11,594.05 = 3,836.67 : x
  2. Step 2: Convert to fraction form
    7,729.15/11,594.05 = 3,836.67/x
  3. Step 3: Cross multiply
    7,729.15x = 11,594.05 × 3,836.67
  4. Step 4: Simplify right side
    7,729.15x = 44,482,543.81
  5. Step 5: Solve for x
    x = 44,482,543.81/7,729.15
  6. Step 6: Final answer
    x = 5,755.17

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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.