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Finding the Fourth Proportional to 11,397.76, 17,096.02 and 3,077.66

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Solution

The fourth proportional to 11,397.76, 17,096.02 and 3,077.66 is: 4,616.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,397.76 : 17,096.02 = 3,077.66 : x
  2. Step 2: Convert to fraction form
    11,397.76/17,096.02 = 3,077.66/x
  3. Step 3: Cross multiply
    11,397.76x = 17,096.02 × 3,077.66
  4. Step 4: Simplify right side
    11,397.76x = 52,615,736.91
  5. Step 5: Solve for x
    x = 52,615,736.91/11,397.76
  6. Step 6: Final answer
    x = 4,616.32

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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.