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Finding the Fourth Proportional to 7,684.74, 11,527.11 and 2,491.02

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Solution

The fourth proportional to 7,684.74, 11,527.11 and 2,491.02 is: 3,736.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.74 : 11,527.11 = 2,491.02 : x
  2. Step 2: Convert to fraction form
    7,684.74/11,527.11 = 2,491.02/x
  3. Step 3: Cross multiply
    7,684.74x = 11,527.11 × 2,491.02
  4. Step 4: Simplify right side
    7,684.74x = 28,714,261.55
  5. Step 5: Solve for x
    x = 28,714,261.55/7,684.74
  6. Step 6: Final answer
    x = 3,736.53

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Similar ratio
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.