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Finding the Fourth Proportional to 7,760.84, 11,635.47 and 3,077.01

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Solution

The fourth proportional to 7,760.84, 11,635.47 and 3,077.01 is: 4,613.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.84 : 11,635.47 = 3,077.01 : x
  2. Step 2: Convert to fraction form
    7,760.84/11,635.47 = 3,077.01/x
  3. Step 3: Cross multiply
    7,760.84x = 11,635.47 × 3,077.01
  4. Step 4: Simplify right side
    7,760.84x = 35,802,457.54
  5. Step 5: Solve for x
    x = 35,802,457.54/7,760.84
  6. Step 6: Final answer
    x = 4,613.22

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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.