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Finding the Fourth Proportional to 11,377.92, 17,076.64 and 4,457.28

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Solution

The fourth proportional to 11,377.92, 17,076.64 and 4,457.28 is: 6,689.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,377.92 : 17,076.64 = 4,457.28 : x
  2. Step 2: Convert to fraction form
    11,377.92/17,076.64 = 4,457.28/x
  3. Step 3: Cross multiply
    11,377.92x = 17,076.64 × 4,457.28
  4. Step 4: Simplify right side
    11,377.92x = 76,115,365.94
  5. Step 5: Solve for x
    x = 76,115,365.94/11,377.92
  6. Step 6: Final answer
    x = 6,689.74

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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.