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Finding the Fourth Proportional to 11,383.57, 17,076.80 and 4,457.17

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Solution

The fourth proportional to 11,383.57, 17,076.80 and 4,457.17 is: 6,686.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,383.57 : 17,076.80 = 4,457.17 : x
  2. Step 2: Convert to fraction form
    11,383.57/17,076.80 = 4,457.17/x
  3. Step 3: Cross multiply
    11,383.57x = 17,076.80 × 4,457.17
  4. Step 4: Simplify right side
    11,383.57x = 76,114,200.66
  5. Step 5: Solve for x
    x = 76,114,200.66/11,383.57
  6. Step 6: Final answer
    x = 6,686.32

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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.