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Finding the Fourth Proportional to 7,741.68, 11,611.56 and 4,581

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Solution

The fourth proportional to 7,741.68, 11,611.56 and 4,581 is: 6,870.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,741.68 : 11,611.56 = 4,581 : x
  2. Step 2: Convert to fraction form
    7,741.68/11,611.56 = 4,581/x
  3. Step 3: Cross multiply
    7,741.68x = 11,611.56 × 4,581
  4. Step 4: Simplify right side
    7,741.68x = 53,192,556.36
  5. Step 5: Solve for x
    x = 53,192,556.36/7,741.68
  6. Step 6: Final answer
    x = 6,870.93

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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.