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Finding the Fourth Proportional to 7,706.92, 11,561.84 and 3,090.28

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Solution

The fourth proportional to 7,706.92, 11,561.84 and 3,090.28 is: 4,636.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.92 : 11,561.84 = 3,090.28 : x
  2. Step 2: Convert to fraction form
    7,706.92/11,561.84 = 3,090.28/x
  3. Step 3: Cross multiply
    7,706.92x = 11,561.84 × 3,090.28
  4. Step 4: Simplify right side
    7,706.92x = 35,729,322.92
  5. Step 5: Solve for x
    x = 35,729,322.92/7,706.92
  6. Step 6: Final answer
    x = 4,636.01

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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.