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Finding the Fourth Proportional to 7,705.68, 11,557.13 and 2,157.65

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Solution

The fourth proportional to 7,705.68, 11,557.13 and 2,157.65 is: 3,236.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.68 : 11,557.13 = 2,157.65 : x
  2. Step 2: Convert to fraction form
    7,705.68/11,557.13 = 2,157.65/x
  3. Step 3: Cross multiply
    7,705.68x = 11,557.13 × 2,157.65
  4. Step 4: Simplify right side
    7,705.68x = 24,936,172.97
  5. Step 5: Solve for x
    x = 24,936,172.97/7,705.68
  6. Step 6: Final answer
    x = 3,236.08

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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.