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Finding the Fourth Proportional to 7,763.40, 11,646.86 and 3,381.30

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Solution

The fourth proportional to 7,763.40, 11,646.86 and 3,381.30 is: 5,072.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.40 : 11,646.86 = 3,381.30 : x
  2. Step 2: Convert to fraction form
    7,763.40/11,646.86 = 3,381.30/x
  3. Step 3: Cross multiply
    7,763.40x = 11,646.86 × 3,381.30
  4. Step 4: Simplify right side
    7,763.40x = 39,381,510.81
  5. Step 5: Solve for x
    x = 39,381,510.81/7,763.40
  6. Step 6: Final answer
    x = 5,072.71

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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.